Question

Calculate the angular speed of a fly wheel making 240 revolutions per min

Answer 1

Answer

• Angular velocity is 8π rad/s

Given

• Frequency , f = 240 rev/m

To Find

• Angular speed

Formula Used

$\bigstar \bf \;\;\; \omega =2 \pi f$

where ,

• ω denotes angular speed
• f denotes frequency

Solution

Frequency , f = 240 rev/m

⇒ f = 240 rev/(60 s)

⇒ f = 4 rev/s

Angular velocity , ω = ? rad/s

Apply formula .

$\implies \rm \omega =2\pi f\\\\\implies \rm \omega = 2 \pi 4\\\\\implies \rm \omega =8 \pi \; rad/s\\\\\implies \rm \omega =25.12\ rad/s$