Two 25 kg children are sitting on a merry-go-round that is rotating at 0.10 rad/s. If...
Two 25 kg children are sitting on a merry-go-round that is rotating at 0.10 rad/s. If one child is 1.0 m from the center and the other is 1.5 m from the center, what is their combined angular momentum
Homework Answers
According to given data,
The angular momentum is,
L=moment of Inertia * angular velocity
L=I*w=(mr²)*w
So , the moment of Inertia of one child,
I1=m(r1)²
I1=25*(1)²=25 kg m²
And moment of Inertia of other child,
I2=m(r2)²
I2=25*(1.5)² =56.25 kg m²
Now, combined angular momentum,
L=total moment of Inertia *angular velocity
L=(I1+I2)*w
L=(25+56.25)*0.10=81.25*0.10
L=8.125 kg m²/s
Add Answer to:
Two 25 kg children are sitting on a merry-go-round that is
rotating at 0.10 rad/s. If...
4. Two children, A and B, each having a mass of 30 kg sit at the edge of the merry-go-round nwhich is rotating at 2 rads Excluding the children, the merry-go-round has a mass of 180 kg and a radiu...
4. Two children, A and B, each having a mass of 30 kg sit at the edge of the merry-go-round nwhich is rotating at 2 rads Excluding the children, the merry-go-round has a mass of 180 kg and a radius of gyration ofk,-06 m 0.75 m 0.75 m 2 rad/s Use 4 significant figures Be carefiul with units and signs. a. Initial total angular momentum pts. b. If child A jumps off hoeizoetally in the-a directice with a speed of...
26. A 35 kg child is sitting at the edge of a 750 kg merry-go-round (assume...
26. A 35 kg child is sitting at the edge of a 750 kg merry-go-round (assume it is a solid uniform cylinder or disk) with radius 2.0 m which is rotating once every 30 seconds. a. Calculate the angular velocity of the merry-go-round. 0.21 rad's b. Calculate the speed of the child. 0.42 m/s C. Calculate the angular momentum of the merry-go-round and child together. 343.5 d. If the child moves into the center of the merry-go-round, what will the...
A 25-kg child running at 1.6 m/s jumps onto the outer edge of a merry-go-round of...
A 25-kg child running at 1.6 m/s jumps onto the outer edge of a merry-go-round of 200-kg mass and 1.8 m radius. If the merry-go-round starts from rest, what is the final angular velocity in rad/s of the child and merry-go-round? Use conservation of angular momentum and treat the merry-go-round as a solid disk.
A child with a mass of 45 kg is riding on a merry-go-round. If the child...
A child with a mass of 45 kg is riding on a merry-go-round. If the child has a speed of 3 m/s and is located 1.5 m from the center of the merry-go-round, what is the child's angular momentum? ___?___kg·m2/s
6. (25 points) The following question examines the motion of two children on a merry-go- round. You may treat the child...
6. (25 points) The following question examines the motion of two children on a merry-go- round. You may treat the children as point particles with mass m and the merry-go-round as a disk with mass M and radius R. The moment of inertia of a disk is Idisk MR2 0wn o r Ve n e r (a) Calculate the total energy of the system if the two children are at the edge of the merry- go-round and the merry-go-round is...
A merry-go-round with moment of inertia 400 kg-m^2 and radius 2.0m is rotating with angular speed...
A merry-go-round with moment of inertia 400 kg-m^2 and radius 2.0m is rotating with angular speed 0.50 rad/s in the clockwise direction about a fixed axis. A child of mass 40 kg runs tangentially to the merry-go-round with speed 3.0m/s and grabs onto the outside edge of the merry-go-round. a. What is the final angular velocity of the system (merry-go-round plus child)/ What is the final tangential speed of the child? b. What is the change in kinetic energy? c....
Three children are riding on the edge of a merry-go-round that is 162 kg, has a...
Three children are riding on the edge of a merry-go-round that is 162 kg, has a 1.60 m radius, and is spinning at 17.3 rpm. The children have masses of 17.4, 29.0, and 32.8 kg. If the child who has a mass of 32.8 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm? rpm An ultracentrifuge accelerates from rest to 100,000 rpm in 2.50 min. (a) What is its angular acceleration in rad/s2?...
A 50.0 kg child stands at the rim of a merry-go-round of radius 2.40 m, rotating with an angular speed of 3.05 rad/s. (a...
A 50.0 kg child stands at the rim of a merry-go-round of radius 2.40 m, rotating with an angular speed of 3.05 rad/s. (a) What is the child's centripetal acceleration? ______ m/s2 (b) What is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path? ______ N (c) What minimum coefficient of static friction is required? _______ Is the answer you found reasonable? In other words, is she...
A 25 kg boy stands 2.1 m from the center of a frictionless playground merry‐go‐round, which...
A 25 kg boy stands 2.1 m from the center of a frictionless playground merry‐go‐round, which has a moment of inertia of 200 kg m2 and is spinning with one revolution every two seconds. The child moves inward to a radius of 1.5 m. a) What is the initial angular velocity of the merry‐go‐round? b) What is the new angular velocity of the merry‐go‐round, after the child moves? c) By how much did the kinetic energy of the merry‐go‐round increase?...
Three children are riding on the edge of a merry-go-round that is 102 kg, has a...
Three children are riding on the edge of a merry-go-round that is 102 kg, has a 1.60 m radius, and is spinning at 21.3 rpm. The children have masses of 19.9, 29.0, and 38.8 kg. If the child who has a mass of 29.0 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm? 30.27 x rpm Additional Materials Reading 2. -/1 points OSColPhys2016 10.4.P.024. My Notes Ask Your Teacher Calculate the rotational kinetic...
4. Two children, A and B, each having a mass of 30 kg sit at the edge of the merry-go-round nwhich is rotating at 2 rads Excluding the children, the merry-go-round has a mass of 180 kg and a radius of gyration ofk,-06 m 0.75 m 0.75 m 2 rad/s Use 4 significant figures Be carefiul with units and signs. a. Initial total angular momentum pts. b. If child A jumps off hoeizoetally in the-a directice with a speed of...
26. A 35 kg child is sitting at the edge of a 750 kg merry-go-round (assume it is a solid uniform cylinder or disk) with radius 2.0 m which is rotating once every 30 seconds. a. Calculate the angular velocity of the merry-go-round. 0.21 rad's b. Calculate the speed of the child. 0.42 m/s C. Calculate the angular momentum of the merry-go-round and child together. 343.5 d. If the child moves into the center of the merry-go-round, what will the...
6. (25 points) The following question examines the motion of two children on a merry-go- round. You may treat the children as point particles with mass m and the merry-go-round as a disk with mass M and radius R. The moment of inertia of a disk is Idisk MR2 0wn o r Ve n e r (a) Calculate the total energy of the system if the two children are at the edge of the merry- go-round and the merry-go-round is...
Three children are riding on the edge of a merry-go-round that is 162 kg, has a 1.60 m radius, and is spinning at 17.3 rpm. The children have masses of 17.4, 29.0, and 32.8 kg. If the child who has a mass of 32.8 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm? rpm An ultracentrifuge accelerates from rest to 100,000 rpm in 2.50 min. (a) What is its angular acceleration in rad/s2?...
Three children are riding on the edge of a merry-go-round that is 102 kg, has a 1.60 m radius, and is spinning at 21.3 rpm. The children have masses of 19.9, 29.0, and 38.8 kg. If the child who has a mass of 29.0 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm? 30.27 x rpm Additional Materials Reading 2. -/1 points OSColPhys2016 10.4.P.024. My Notes Ask Your Teacher Calculate the rotational kinetic...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago