Problem 2 A man is standing on the platform of a merry-go-round, not holding on to anything. The merry-go- round is turning at a constant rate, and makes a complete turn every 10s. (a) What is the merry-go-round angular velocity? (b) If the man is standing at a distance of 2 m from the center of the merry-go-round, what is his centripetal acceleration? (c) Which actual force acting on the man is responsible for this acceleration? (d) What is the minimum value of μs, the static friction coefficient, between the soles of the man's shoes and the platform? (e) The power is turned off and the platform slows down to a stop with a constant angular acceleration of -0.02 rad/s². How long does it take for it to stop completely? (f) What is the man's tangential acceleration during that time? Does his centripetal acceleration change? Why? (g) How many turns does the platform make before coming to a complete stop?
Problem 2 A man is standing on the platform of a merry-go-round, not holding on to anything. The merry-go- round is turning at a constant rate, and makes a complete turn every 10s. (a) What is the merry-go-round angular velocity? (b) If the man is standing at a distance of 2 m from the center of the merry-go-round, what is his centripetal acceleration? (c) Which actual force acting on the man is responsible for this acceleration? (d) What is the minimum value of μs, the static friction coefficient, between the soles of the man's shoes and the platform? (e) The power is turned off and the platform slows down to a stop with a constant angular acceleration of -0.02 rad/s². How long does it take for it to stop completely? (f) What is the man's tangential acceleration during that time? Does his centripetal acceleration change? Why? (g) How many turns does the platform make before coming to a complete stop?
Problem 2 A man is standing on the platform of a merry-go-round, not holding on to anything. The merry-go- round is turning at a constant rate, and makes a complete turn every 10s. (a) What is the merry-go-round angular velocity? (b) If the man is standing at a distance of 2 m from the center of the merry-go-round, what is his centripetal acceleration? (c) Which actual force acting on the man is responsible for this acceleration? (d) What is the minimum value of μs, the static friction coefficient, between the soles of the man's shoes and the platform? (e) The power is turned off and the platform slows down to a stop with a constant angular acceleration of -0.02 rad/s². How long does it take for it to stop completely? (f) What is the man's tangential acceleration during that time? Does his centripetal acceleration change? Why? (g) How many turns does the platform make before coming to a complete stop?
em 2 A man is standing on the platform of a merry-go-round, not holding on to anything. The merry-go-
round is
(a) (b)
(c) (d)
(e)
(f)
(g)
turning at a constant rate, and makes a complete turn every 10 s. What is the merry-go-round angular velocity?
If the man is standing at a distance of 2 m from the center of the merry-go-round, what is his centripetal acceleration?
Which actual force acting on the man is responsible for this acceleration?
What is the minimum value of μs, the static friction coefficient, between the soles of the man’s shoes and the platform?
The power is turned off and the platform slows down to a stop with a constant angular acceleration of −0.02rad/s2. How long does it take for it to stop completely?
What is the man’s tangential acceleration during that time? Does his centripetal acceleration change? Why?
How many turns does the platform make before coming to a complete stop?
Transcribed Image Text:Problem 2 A man is standing on the platform of a merry-go-round, not holding on to anything. The merry-go-
round is turning at a constant rate, and makes a complete turn every 10s.
(a) What is the merry-go-round angular velocity?
(b) If the man is standing at a distance of 2 m from the center of the merry-go-round, what is his centripetal
acceleration?
(c) Which actual force acting on the man is responsible for this acceleration?
(d) What is the minimum value of us, the static friction coefficient, between the soles of the man's shoes
and the platform?
(e) The power is turned off and the platform slows down to a stop with a constant angular acceleration of
-0.02 rad/s². How long does it take for it to stop completely?
(f) What is the man's tangential acceleration during that time? Does his centripetal acceleration change?
Why?
(g) How many turns does the platform make before coming to a complete stop?
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
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Transcribed Image Text:Problem 2 A man is standing on the platform of a merry-go-round, not holding on to anything. The merry-go-
round is turning at a constant rate, and makes a complete turn every 10s.
(a) What is the merry-go-round angular velocity?
(b) If the man is standing at a distance of 2 m from the center of the merry-go-round, what is his centripetal
acceleration?
(c) Which actual force acting on the man is responsible for this acceleration?
(d) What is the minimum value of us, the static friction coefficient, between the soles of the man's shoes
and the platform?
(e) The power is turned off and the platform slows down to a stop with a constant angular acceleration of
-0.02 rad/s². How long does it take for it to stop completely?
(f) What is the man's tangential acceleration during that time? Does his centripetal acceleration change?
Why?
(g) How many turns does the platform make before coming to a complete stop?
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