A point on a wheel moves at 27pi/5 radians per minute how many seconds are required for the point to complete 12 revolutions

Time required for the point to complete 12 revolutions; t = 266.67 seconds

Step-by-step explanation:

We are told that the angular speed is;

ω = 27π/5 rads/minute

And that number of revolutions; N = 12 revolutions

Since N is in revolutions, and we told to find time in seconds, thus let's convert the angular speed to rev/s

Thus,

ω = 27π/5 rads/minute = (27π/5) x 0.0166666667 x ½π rev/s

ω = 0.045 rev/s

Thus, N = ωt

Where t is time required

So, 12 = 0.045t

t = 12/0.045

t = 266.67 seconds