Question

A wheel makes 180 revolutions per minute find its angular speed in rad/s

Answer 1

frequency = 180 rpm= 180 ÷60 rps= 30 rps .

ω= 2× 3.142 ×n=

    = 6.28×30

    = 18.84 rad /sec

Answer 2

1 rev = 2pi radian

180 rev = 2pi * 180

180 rev = 360 pi radian

180 rev/1 minute = 360 pi radian / 1 minute

180 rev / 60 sec = 360 pi radian / 60 sec

180 rev / 60 sec = 18.84 radian / sec. is the answer.