The angle θ through which a disk drive turns is given by θ(t)=a+bt−ct3, where a,b and c are constants, tis in seconds, and θ is in radians. When t=0,θ=π/4rad and the angular velocity is 1.50 rad/s, and when t=1.10s, the angular acceleration is 1.40 rad/s2.
A. Find a including their units.
π/4rad/s
π/2rad/s
π/4rad
π/4rad/s
B. Find b including their units.
1.50 rad/s2
1.50 rad/s
5.3 rad/s
5.3 rad/s2
C. Find c including their units.
-0.212 rad/s3
-0.212 rad/s2
3.3 rad/s3
4.5 rad/s3
D. What is the angular acceleration when θ=π/4rad?
E. What is θ when the angular acceleration is 4.10 rad/s2?
F. What is the angular velocity when the angular acceleration is 4.10 rad/s2?
The angle θ through which a disk drive turns is given by θ(t)=a+bt−ct3, where a,b and...
The angle θ through which a disk drive turns is given by θ(t)=a+bt−ct3, where a,b and c are constants, t is in seconds, and θ is in radians. When t=0,θ=π/4rad and the angular velocity is 1.70 rad/s , and when 1.30 s , the angular acceleration is 1.30 rad/s2 . a) What is θ when the angular acceleration is 4.00 rad/s2 ? b) What is the angular velocity when the angular acceleration is 4.00 rad/s2 ?
Exercise 9.7 The angle \(\theta\) through which a disk drive turns is given by \(\theta(t)=a+b t-c t^{3}\), where \(a, b\) and \(c\) are constants, \(t\) is in seconds, and \(\theta\) is in radians. When \(t=0, \theta=\pi / 4 \mathrm{rad}\) and the angular velocity is \(1.70 \mathrm{rad} / \mathrm{s}\), and when \(1.70 \mathrm{~s}\), the angular acceleration is \(1.35 \mathrm{rad} / \mathrm{s}^{2}\).Part EWhat is θ when the angular acceleration is 2.50 rad/s2?Part FWhat is the angular velocity when the angular acceleration is 2.50 rad/s2?
e and f pls
Part E The angle through which a disk drive turns is given by 0 (t) = a +bt - ct, where a, b, and care constants, t is in seconds, and is in radians. When t=0,0 = */4 rad and the angular velocity is 1.80 rad/s, and when t - 1.60 s, the angular acceleration is 1.40 rad/s For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Calculating angular...
The angle through which a rotating wheel has turned in time t is given by θ = a t− b t2+ c t4, where θ is in radians and t in seconds. A)Determine an expression for the instantaneous angular velocity ω if t is in seconds. ω = ______ rad/s B)Determine an expression for the instantaneous angular acceleration α if tis in seconds. α = _______ rad/s^2 c)If a = 9.0 rad/s , b = 14.5 rad/s2 , c =...
The angular position of a point on a rotating wheel is given by θ = 3 + 2t2 + 7t3, where θ is in radians and t is in seconds. (a) At t = 0, what is the point's angular position? rad (b) At t = 0, what is the point's angular velocity? rad/s (c) What is the point's angular velocity at t = 4.0 s? rad/s (d) Calculate the point's angular acceleration at t = 2.0 s. rad/s2 (e)...
The angular position of a point on a rotating wheel is given by
θ = 1.6 + 4.2t2 +
1.7t3, where θ is in radians and
t is in seconds
(a) At t = 0, what is the point's angular position?
(b) At t = 0, what is the point's angular velocity?
(c) What is its angular velocity at t = 4.0 s?
(d) Calculate its angular acceleration at t = 2.0
s.
(e) Is its angular acceleration constant?
is...
4. The angular velocity of a flywheel obeys the equation o.0)-A+Bt, where t is in A and B are constants having numerical values 2.75 (for A) and 1.50 (for B). a) What are the units of A and B if oz is in rad/s. Unit of A Unit of B b) What is the angular acceleration of the wheel at i) 0.00 s and ii) 5.00 s a(0) = α (5.00 s)- c) Through what angle does the flywheel turn...
A particle moves according to the function θ = t3-5t2 + 4 where θ is in radians and t is in seconds. (a) Find the angular velocity of the particle at t-1 s and t 2s. (b) Find the average instantaneous acceleration between t=1 and t s. (c) what is the angular position of the particle at the first time when the angular velocity is 0? 3.
A flywheel has angular acceleration az(t) = 8.65 rad/s2 - (2.35 rad/s2 )t , where counterclockwise rotation is positive. If the flywheel is at rest at t = 0, what is its angular velocity at 5.25 s? Express your answer with the appropriate units. Through what angle (in radians) does the flywheel turn in the time interval from t = 0 to 5.25 s? Express your answer with the appropriate units.
The acceleration of a certain rocket is given by ax= bt, where b is a positive constant. (a) Find the position function x(t) if x = x0 and v0 at t = 0. (Use the following as necessary: x0, v0, b, and t.) x(t) = (b) Find the position and velocity at t = 7.9 s if x0 = 0, v0 = 0 and b = 3.3 m/s3. x(7.9 s) = m v(7.9 s) = m/s (c) Compute the average velocity of...