Mike just hopped on the edge of a merry-go-round. What are his linear and angular speeds if the diameter of the merry-go-round i s 14 feet and it takes 6 seconds for it to make a complete revolution? Round the solutions to two decimal places.
1 answer:
Step-by-step explanation:
Given that,
The diameter of the merry-go-round, d = 14 feet
Time taken, t = 6 seconds
Radius, r = 7 feet
The linear speed of the merry-go-round is given by :
Also,
Where
is the angular speed
So,
Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.
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Step-by-step explanation:
p/2 = 3/4 + p/3
p/2 - p/3 = 3/4
(3p - 2p )/6 = 3/4
p/6 = 3/4
multiply both sides by 6
p = 3×6/4
=18/4
=9/2
=4.5
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