Question

1. The state fair has a merry-go-round ride of radius 15 m.
Child A is sitting on a unicorn near the edge of the platform.
Child B is sitting on a dragon about halfway from the center to the
edge of the platform. Which child has the larger
**angular***velocity?*

a) They both have the same angular velocity.

b) I don't know, but child B is clearly cooler for picking the dragon.

c) Child A

d) Child B

2. Two spheres look identical and have the same mass. However, one is hollow (I = 2 3 M R 2) and one is solid (I = 2 5 M R 2). You decide to roll them both down the same incline because you know...

a) ...the hollow sphere will make it down first due to its larger moment of inertia.

b) ...the solid sphere will make it down first due to its smaller moment of inertia.

3. The state fair has a merry-go-round ride of radius 15 m.
Child A is sitting on a unicorn near the edge of the platform.
Child B is sitting on a dragon about halfway from the center to the
edge of the platform. Which child has the larger
**linear** velocity?

a) Child B

b) They both have the same linear velocity.

c) Child A

d) I don't know, but child B is clearly cooler for picking the dragon.

Answer #1

1. a) They both have same angular velocity.

As both children are covering equal angle in equal time therefore their angular displacement and angular velocity ω , will be equal .

2. b) The solid sphere will make it down first due to its smaller moment of inertia.

3. c) Child A

We know linear velocity . The angular velocity of both child A and child B is same. But since the radius of child A is greater than that of child B, the linear velocity of child A is greater than that of child B

A child of mass m=15kg stands on a merry-go-round. The radius of
the merry-go-round is R=2m and the mass is M=75kg. The
merry-go-round is considered to be a solid disk. The merry-go round
initially at rest and the child stands near the edge. What will the
angular velocity of the merry-go-round be if the child jumps
off
a.) In the radial direction with a velocity of +4m/s?
b.) perpindicular to the radial direction with a velocity of
+4m/s?
c.) At...

A playground merry-go-round of radius R = 1.60 m has a
moment of inertia I = 255 kg·m2 and is rotating
at 11.0 rev/min about a frictionless vertical axle. Facing the
axle, a 25.0 kg child hops onto the merry-go-round and manages to
sit down on its edge. What is the new angular speed of the
merry-go-round?

A playground merry-go-round of radius R = 2.6 m has a moment of
inertia of I = 200 kg*m^2. and is rotating at a rate of ω
= 11 rev/min around a frictionless vertical axis. Facing the axle,
a 39 kg child hops onto the merry-go-round and manages to sit down
on the edge. What is the new angular speed of the merry-go-round
(in rev/min)

A playground merry-go-round of radius 1.9 m has a moment of
inertia 139 kg.m2 and is rotating at 9 rev/min about a frictionless
vertical axle. Facing the axle, a 27 kg child hops onto the
merry-go-round, and manages to sit down on the edge. What is the
new angular speed of the merry-go-round?

A playground merry-go-round of radius ? = 2.0 m has a moment of
inertia ? = 250 kg ⋅ m^2 is rotating at 15 rpm about a
frictionless, vertical axle. Facing the axle, a 25-kg child hops
onto the merry-goround and manages to sit down on the edge. (a) (10
pts) What is the total angular momentum of the
‘merry-go-round-child’ system before and after the child hops on
the the merry-go-round? (b) (10 pts) What is the new angular speed,...

A 24.5-kg child is standing on the outer edge of a horizontal
merry-go-round that has a moment of inertia of about a vertical
axis through its center and a radius of 2.40 m. The entire system
(including the child) is initially rotating at 0.180 rev/s. Find
the angular velocity if the child moves to a new position 1.10 m
from the center of the merry-go-round... Please explain!!

1. A person of mass 75.0 kg stands at the center of a rotating
merry-go-round platform of radius 3.00 m and moment of inertia 826
kg⋅m2. The platform rotates without friction with angular velocity
of 0.955 rad/s. The person walks radially to the edge of the
platform. You may ignore the size of the person.
(a) Calculate the angular velocity when the person reaches the
edge of the merry-go-round.
(b) Calculate the rotational kinetic energy of the system of
platform...

Torques and Angular Momentum
1. A 250 kg playground merry-go-round has a radius of 2.0m and
can be approximated as a disk.
A.Find the moment of inertia of the merry-go-round.
B.A 30.0 kg child applies 20 N tangential force for 10 seconds
and then jumps on the edge while moving at the same speed as the
merry-go-round. Find the angular speed of the merry-go-round and
the child.
C.How much work did the child do on the merry-go-round?
D.How much average...

Merry Go
Round
A merry-go-round
with a radius of R = 1.80 m and moment of inertia I
= 201
kg-m2
spinning with an
initial angular speed of ω = 1.5 rad/s in the counter clockwise
direction when viewed from above. A person with mass m =
55
kg and velocity v
= 4.5
m/s runs on a path
tangent to the merry-go-round. Once at the merry-go-round the
person jumps on and holds on to the rim of the
merry-go-round....

A merry-go-round with a moment of inertia equal to 1250kg?m2 and
a radius of 2.5 m rotates with negligible friction at 1.70 rad/s. A
child initially standing still next to the merry-go-round jumps
onto the edge of the platform straight toward the axis of rotation,
causing the platform to slow to 1.35 rad/s.What is her mass?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 43 minutes ago

asked 45 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago