Question

A 4.0 m diameter playground merry-go-round, with a moment of inertia of 400 kg⋅m^2, is freely rotating with an angular velocity of 2.5 rad/s. Ryan, whose mass is 65 kg, runs on the ground around the outer edge of the merry-go-round in the opposite direction to its rotation. Still moving, he jumps directly onto the rim of the merry-go-round, bringing it (and himself) to a halt. How fast was Ryan running when he jumped on?

Name: a 40 m diameter playground merry go round with a moment of inertia of 400 kgm2 is freely rotating with an angular velocity of 25 rads ryan whose mass is 65 kg runs on the ground around the o 78712
Uploaded: 2022-11-22T20:49:55-08:00
Duration: 1 min 19 s
Channel: Timothy James
Description: a 40 m diameter playground merry go round with a moment of inertia of 400 kgm2 is freely rotating with an angular velocity of 25 rads ryan whose mass is 65 kg runs on the ground around the o 78712

          A 4.0 m diameter playground merry-go-round, with a moment of inertia of 400 kg⋅m^2, is freely rotating with an angular velocity of 2.5 rad/s. Ryan, whose mass is 65 kg, runs on the ground around the outer edge of the merry-go-round in the opposite direction to its rotation. Still moving, he jumps directly onto the rim of the merry-go-round, bringing it (and himself) to a halt.
How fast was Ryan running when he jumped on?

Added by David B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Timothy James

11/22/2022

Step 1

• Diameter of merry-go-round = 4.0 m, so the radius r = 2.0 m. • Moment of inertia of the merry-go-round, I = 400 kg·m². • Initial angular velocity of the merry-go-round, ω = 2.5 rad/s. • Ryan’s mass, m = 65 kg. Show more…

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A 4.0 m diameter playground merry-go-round, with a moment of inertia of 400 kg⋅m^2, is freely rotating with an angular velocity of 2.5 rad/s. Ryan, whose mass is 65 kg, runs on the ground around the outer edge of the merry-go-round in the opposite direction to its rotation. Still moving, he jumps directly onto the rim of the merry-go-round, bringing it (and himself) to a halt. How fast was Ryan running when he jumped on?