In: Physics
A merry-go-round rotates from rest with an angular acceleration of 1.11 rad/s2. How long does it take to rotate through (a) the first 1.85 rev and (b) the next 1.85 rev?
Please include an explanation
Given merry-go-round rotates from rest
so initial angular velocity
acceleration ,
(a) How long does it take to rotate through the first 1.85 rev.
Convert revolution to radians
We know
----------------(1)
ANSWER:
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(b)How long does it take to rotate through the next 1.85 rev?
1.85 rev +1.85rev =3.7 rev
There are two options: we can find time taken to complete 3.7 rev starting from rest and subtract time taken for first 1.85rev ( time from answer (a) )
OR
Find velocity after first 1.85 rev , then take that as initial velocity for next 1.85 rev and use equation from Part (a). Equation (1)
First Option is simpler
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Convert revolution to radians
We know
Time for 2nd 1.85 rev =
ANSWER:
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