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How long will it take a pulley rotating at 12 radians per second to make 100 revolution ( pls put the solution)

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CasC
It will take approximately 52.4 seconds.
 
about 6.29 [rad] = 1 [rev]
100 * 6.29 [rad] = 629 [rad]
about 629 [rad] = 100 [rev]
629 [rad] / 12 [radps]  = 52.4 [s]
abidemiokin

The time it will take in rotating the pulley is 52.4sT

Radians to revolution

Given the conversion factor

  • 6.29 rad = 1 rev

Convert 100 rev to radians

100 rev = 629 radians

Get the time

Time  = Distance/Speed

Time = 629/12

Time  = 52.4 [s]

Hence the time it will take in rotating the pulley is 52.4secs

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