Q) A disk is rotating in 2D with an angular frequency 6π radians per second. How...
Q) A disk is rotating in 2D with an angular frequency 6π radians per second. How many complete rotations does the disk make per second?
The x, y coordinates of the disk are ? = cos??, ? = sin??
Draw a sketch showing the disk, the coordinates system and
coordinates
What is the value of ω? (i.e. what value should be used in
? = cos?? and what are the units.)
Which direction is the disk rotating in? Why?
Homework Answers
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Q) A disk is rotating in 2D with an angular frequency 6π
radians per second. How...
1) Amass, m, on a spring with spring constant k obeys the equation of motion Where-1...
1) Amass, m, on a spring with spring constant k obeys the equation of motion Where-1 kg. Andk is assigned a value 1 (in Sl units) What are the units of the spring constant? Assuming that at time O, the mass mis at rO traveling with a velocity of 1 m/s Work out the maximum displacement of the mass in subsequent oscillations Can you find an alternative way of getting this answer? 2) Amass,, on a spring with spring constant...
3) Starting from rest, a drill bit reaches 24Ort radians per second in 3.0s. a) How...
3) Starting from rest, a drill bit reaches 24Ort radians per second in 3.0s. a) How many revolutions does it make during this time? b) Consider a point on the edge of the drill bit. Sketch a graph of angular position vs. time for this point. c) Sketch a graph of angular velocity vs. time for this points d) Sketch a graph of angular acceleration vs. time for this point.
Please show clear steps of how to solve each! (1 point) The graph shows the displacement...
Please show clear steps of how
to solve each!
(1 point) The graph shows the displacement from equilibrium of a mass-spring system as a function of time after the vertically hanging system was set in motion at time t 0. Assume that the units of time are seconds, and the units of displacement are centimeters. The first t-intercept is (0.75, 0) and the first minimum has coordinates (1.25, -4). (a) What is the period T of the periodic motion? seconds...
Question 1 1 pts What is the angular speed in radians per second (rad/s) of the...
Question 1 1 pts What is the angular speed in radians per second (rad/s) of the hour hand on an analog clock? A 1.5 x 1o4 rad/s B. 1.7 x 103 rad/s C 0.20 rad/s D. 0.052 rad/s O D Question 2 1 pts A record player rotates a record at 45 revolutions per minute. When the record player is switched off, it makes 4.0 complete turns at a constant angular acceleration before coming to rest. What was the magnitude...
(17%) Problem 1: An object oscillates with an angular frequency o = 3 rad/s. At 1-0,...
(17%) Problem 1: An object oscillates with an angular frequency o = 3 rad/s. At 1-0, the object is at xo = 3.5 cm. It is moving with velocity vx0= 2 cm/s in the positive x-direction. The position of the object can be described through the equation x() = A cos(o1+). 33% Part (a) What is the the phase constant of the oscillation in radians? (Caution: If you are using the trig functions in the palette below, be careful to...
18. A point on the edge of a circular flywheel with a radius of 8 cm is rotating at a rate of 16 radians per second. What is the approximate linear speed v of a point on its rim (i.e., the...
18. A point on the edge of a circular flywheel with a radius of 8 cm is rotating at a rate of 16 radians per second. What is the approximate linear speed v of a point on its rim (i.e., the edge of the flywheel), in centimeters per minute Round to the nearest integer as needed.) O A. 7680 cm/min O B. 7600 em/min o c. 7580 em/min O D. 7500 cm/min OE. None of A through D. Determine whether...
Need help on part a and b?? (1796) Problem 7: Two children pull a third child...
Need help on part a and b??
(1796) Problem 7: Two children pull a third child backward on a snow saucer sled exerting forces F1 13 and F2 8.5 as shown in the figure. Note that the direction of the friction force f- 5.8 N is unspecified, it will be opposite in direction to the sum of the other two forces. 45 30° Free-body diagram ttheexpertta.c 5096 Part (a) Find the magnitude of the acceleration of the 42 kg sled...
A conducting wire formed in the shape of a right triangle with base b = 38...
A conducting wire formed in the shape of a right triangle with base b = 38 cm and height h = 65 cm and having resistance R = 1.1 Ω, rotates uniformly around the y-axis in the direction indicated by the arrow (clockwise as viewed from above (loooking down in the negative y-direction)). The triangle makes one complete rotaion in time t = T = 1.8 seconds. A constant magnetic field B = 1.1 T pointing in the positive z-direction...
One of the most important classes of time dependent signals are periodic signals. Periodic signals satisfy tho following signal equations, x(t) X(t) x(t+nt) for n 2,3. The periodic signals to b...
One of the most important classes of time dependent signals are periodic signals. Periodic signals satisfy tho following signal equations, x(t) X(t) x(t+nt) for n 2,3. The periodic signals to be observed in this laboratory assignment are shown below. In all the examples A represents the amplitude of the signal and may be given as the measurement from 0 to the peak value A, Apk or can be given as the measurement between A and -A which defines a peak-to-peak...
Feedback: -Check the units carefully, particularly inside the trig function. Hints: -What function describes a wave...
Feedback:
-Check the units carefully, particularly inside the trig
function.
Hints:
-What function describes a wave traveling in the positive
x-direction that starts with a positive displacement of
smax?
-Be very careful how you calculate this - if you approximate π as
3.14 you may not be accurate enough, since you are evaluating a
trig function of a very small value.
-Watch the units - your calculate must be set in radians!
Smax (13%) Problem 6: A periodic vibration at...
1) Amass, m, on a spring with spring constant k obeys the equation of motion Where-1 kg. Andk is assigned a value 1 (in Sl units) What are the units of the spring constant? Assuming that at time O, the mass mis at rO traveling with a velocity of 1 m/s Work out the maximum displacement of the mass in subsequent oscillations Can you find an alternative way of getting this answer? 2) Amass,, on a spring with spring constant...
3) Starting from rest, a drill bit reaches 24Ort radians per second in 3.0s. a) How many revolutions does it make during this time? b) Consider a point on the edge of the drill bit. Sketch a graph of angular position vs. time for this point. c) Sketch a graph of angular velocity vs. time for this points d) Sketch a graph of angular acceleration vs. time for this point.
Please show clear steps of how
to solve each!
(1 point) The graph shows the displacement from equilibrium of a mass-spring system as a function of time after the vertically hanging system was set in motion at time t 0. Assume that the units of time are seconds, and the units of displacement are centimeters. The first t-intercept is (0.75, 0) and the first minimum has coordinates (1.25, -4). (a) What is the period T of the periodic motion? seconds...
Question 1 1 pts What is the angular speed in radians per second (rad/s) of the hour hand on an analog clock? A 1.5 x 1o4 rad/s B. 1.7 x 103 rad/s C 0.20 rad/s D. 0.052 rad/s O D Question 2 1 pts A record player rotates a record at 45 revolutions per minute. When the record player is switched off, it makes 4.0 complete turns at a constant angular acceleration before coming to rest. What was the magnitude...
(17%) Problem 1: An object oscillates with an angular frequency o = 3 rad/s. At 1-0, the object is at xo = 3.5 cm. It is moving with velocity vx0= 2 cm/s in the positive x-direction. The position of the object can be described through the equation x() = A cos(o1+). 33% Part (a) What is the the phase constant of the oscillation in radians? (Caution: If you are using the trig functions in the palette below, be careful to...
18. A point on the edge of a circular flywheel with a radius of 8 cm is rotating at a rate of 16 radians per second. What is the approximate linear speed v of a point on its rim (i.e., the edge of the flywheel), in centimeters per minute Round to the nearest integer as needed.) O A. 7680 cm/min O B. 7600 em/min o c. 7580 em/min O D. 7500 cm/min OE. None of A through D. Determine whether...
Need help on part a and b??
(1796) Problem 7: Two children pull a third child backward on a snow saucer sled exerting forces F1 13 and F2 8.5 as shown in the figure. Note that the direction of the friction force f- 5.8 N is unspecified, it will be opposite in direction to the sum of the other two forces. 45 30° Free-body diagram ttheexpertta.c 5096 Part (a) Find the magnitude of the acceleration of the 42 kg sled...
One of the most important classes of time dependent signals are periodic signals. Periodic signals satisfy tho following signal equations, x(t) X(t) x(t+nt) for n 2,3. The periodic signals to be observed in this laboratory assignment are shown below. In all the examples A represents the amplitude of the signal and may be given as the measurement from 0 to the peak value A, Apk or can be given as the measurement between A and -A which defines a peak-to-peak...
Feedback:
-Check the units carefully, particularly inside the trig
function.
Hints:
-What function describes a wave traveling in the positive
x-direction that starts with a positive displacement of
smax?
-Be very careful how you calculate this - if you approximate π as
3.14 you may not be accurate enough, since you are evaluating a
trig function of a very small value.
-Watch the units - your calculate must be set in radians!
Smax (13%) Problem 6: A periodic vibration at...
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