A point on a wheel moves at 33π/4 radians per minute. How many seconds are required for the point to complete 10 revolutions?

Answer 1

Revolutions per minute = (33π/4)/(2π) = 33/8 and this is 33/(8*60) = 33/480 revolutions per second

Ten revolutions will therefore take 10 / (33/480) = 4800/33 = 145.5 sec



Answer 2

Hello Ryllie!

One revolution = 2π radians

10 revolutions = 20π radians

33π/4 rad/min = 33π/4*(1/60) rad/s = 11π/80 rad/s

20π/(11π/80) = 80*20/11 = 1600/11 s

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