A disk-shaped merry-go-round of radius 2.63 m and mass 155 kg rotates freely with an angular speed of .667 rev/s. A 59.4 kg person running tangential to the rim of the merry-go-round at 3.38 m/s jumps onto its rim and holds on. Before jumping on the merry-go-round, the person was moving in the same direction as the merry-go-ro

See attached file.
Please provide a stepwise solution.
A merry-go-round of mass M=120kg and radius 5m rotates with an angular velocity ωo=3rad/s. A block of mass MA=90kg sits a distance RA=4m from the axis of rotation. At time t=0s, Bob (mB=70kg) jumps on the merry-go-round so that he lands a distance of RB=3m from the

A student is performing measurements with a hockey puck on a large merry-go-round with a frictionless, horizontal, flat surface end has a constant angular velocity of W(bar) and rotates counter clockwise as seen from above.
Given: the radius of the merry-go-round is R= 1m, W(bar)=1 radian/sec.
Initial position is: x=-.5R

2π radians = 360 degrees = 1 cycle = 1 revolution
T (period in time/cycle) = 1/f (frequency in cycles/time), and ω = 2πf
For circular motion: s = rθ, where s = distance in units of length, r = radius, θ = angle in radians
ω = angular velocity (or angular frequency) in radians/time or revolutions/time
v = rω, where v

Merry-Go-Round. Two identical twins, Jena and Jackie, are playing one December on a large merry-go-round (a disk mounted parallel to the ground on a vertical axle through its center) in their school playground in northern Minnesota. Each twin has a mass of m. The icy coating on the merry-go-round surface makes it frictionless. T

Please identify all variables used.
1) An engine flywheel initially spinning 2000 rpm has an angular acceleration of -10 rad/s2 as it slows down. How long does it take for the flywheel to turn through 100 revolutions? How long does it take to stop?
2) A 50 kg child stand at the rim of a merry go round with a radius of 2.

A merry-go-round makes 24 revolutions in a 3.0-min ride. (a) What is it's average angular speed in rad/s? (b) What are the tangential speed of two people 4.0 m and 5.0 m from the center, or axis of rotation?

A wheel that is rotating at 33.3 rad/s is given an angular acceleration of 2.15 rad/s/s. Through what angle has the wheel turned when its angular speed reaches 72.0 rad/s?

1. Competitive divers pull their limbs in a curl up their bodies when they do flips. Just before entering the water, they fully extend their limbs to enter straight down. Explain the effect of both actions on their angular velocity. What is the effect of these actions on their angular momentum?
2. What is the final velocity