Abelt runs a pulley of radius 8 inches at 60 revolutions per minute. a) find the angular speed in radians per minute. b) find the linear speed in inches per minute.

Part a)

Part b)

Step-by-step explanation:

we have

60 rev/min

Part a) Find the angular speed in radians per minute

we know that

One revolution represent 2π radians (complete circle)

so

To convert rev to rad, multiply by 2π

Part b) Find the linear speed in inches per minute

we know that

The circumference of a circle is equal to

we have

----> given problem

substitute

Remember that

One revolution subtends a length equal to the circumference of the circle

so

To convert rev to in, multiply by 16π

y > 1/3x

y < = -x + 4

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