Question

A merry-go-round accelerates from rest to 0.75 rad/srad/s in 36 ss.

Assuming the merry-go-round is a uniform disk of radius 8.0 mm
and mass 3.10×10^{4} kgkg , calculate the net torque
required to accelerate it.

Express your answer to two significant figures and include the appropriate units.

Answer #1

a 50.0 kg child is on a 200. kg merry-go-round with a radius of
1.50 m. the child starts at 0.5 m from the center and moves to the
edge. the child's parent accelerates the merry-go-round from rest
at 0.75 rad/s^2 to a speed of 1.5 rad/s. How long did the parent
push the merry-go-round? how much force is required to hold the
child when at 0.5 m from the center? determine the kinetic energy
of the system when moving...

A merry-go-round starts from rest and accelerates uniformly over
19.5 s to a final angular velocity of 6.25 rev/min.
(a) Find the maximum linear speed of a person sitting on the
merry-go-round 4.00 m from the center.
(b) Find the person's maximum radial acceleration.
(c) Find the angular acceleration of the merry-go-round.
(d) Find the person's tangential acceleration.

A merry-go-round starts from rest and accelerates uniformly over
26.5 s to a final angular velocity of 6.90 rev/min.
(a) Find the maximum linear speed of a person sitting on the
merry-go-round 7.25 m from the center.
(b) Find the person's maximum radial acceleration.
(c) Find the angular acceleration of the merry-go-round.
(d) Find the person's tangential acceleration.

A 40 kg child (point mass) rides on the outer edge of a
merry-go-round, which is a large disk of mass 150 kg and radius 1.5
m. The merry-go-round spins with an angular velocity of 12 rpm.
What is the merry-go-round’s angular velocity in radians per second
(rad/s)? What is the total rotational inertia (moment of inertia)
of the child and merry-go-round together? What is the rotational
kinetic energy (in joules) of the merry-go-round and child
together? What magnitude of...

At a playground, a 17-kg child sits on a spinning
merry-go-round, as shown from above in (Figure 1).The
merry-go-round completes one revolution every 6.2 s, and the child
sits at a radius of r=1.8m.
Part A
What is the force of static friction acting on the child?
Express your answer to two significant figures and include
appropriate units.
Part B
What is the minimum coefficient of static friction between the
child and the merry-go-round to keep the child from slipping?

A small child of mass mc is sitting on the edge of a large
merry-go-round which is initially at rest. For simplicity, assume
the merry-go-round is a uniform disk of mass mm and radius R. An
ice-cream truck drives by and in a moment of benevolence, the
driver hurls a huge scoop of vanilla ice cream at the child. The
scoop has mass ms and is traveling parallel to the ground and
tangent to the merry-go-round at a speed of...

A 5.1-m-diameter merry-go-round is initially turning with a 4.5
s period. It slows down and stops in 21 s .
A: Before slowing, what is the speed of a child
on the rim?
Express your answer to two significant figures and
include the appropriate units.
v = ?
B: How many revolutions does the merry-go-round
make as it stops?
Express your answer using two significant
figures.
delta degree = ?

A computer hard disk 8.0 cm in diameter is initially at rest. A
small dot is painted on the edge of the disk. The disk accelerates
at 630 rad/s 2 for 1 2 s , then coasts at a
steady angular velocity for another 1 2 s .
Part A
What is the speed of the dot at t = 1.0 s ?
Express your answer to two significant figures and include the
appropriate units.
Part B
Through how many revolutions has...

A merry-go-round rotates from rest with an angular acceleration
of 2.00 rad/s2. How long does it take to rotate through
(a) the first 4.00 rev. (b) At the 4.00 rev angle the acceleration
immediately changes to 1.5 rad/s2 , how long does it
take to rotate the next 4.00 rev?

1)
You wish to accelerate a small merry-go-round from rest to a
rotational speed of one-fourth of a revolution per second by
pushing tangentially on it. Assume the merry-go-round is a disk
with a mass of 300 kg and a radius of 2.00 m .
Ignoring friction, how hard do you have to push tangentially to
accomplish this in 6.00 s ? (Use energy methods and assume a
constant push on your part.)
F=?
2)
A person opens a door...

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