Question

A mark on the rim of a rotating circular wheel of 0.75 m radius is moving with a speed of 12 m/s. The angular speed of the rim will be 12 rad/s 8 rad/s 16 rad/s 9 rad/s​

Answer 1

Correct option is B)

Given : w=70 rad/s r=0.5 m

∴ Its linear velocity v=rw=0.5×70=35 m/s

i hope it's helpful

please mark me brainliest answer

Answer 2

Given: Radius of the rim(r)= 0.75 m

           The speed with which the rim is moved(v)= 12 m/s

To find The angular speed

Solution: In a definite amount of time, the angle by which an object moves is referred to as the angular speed or angular velocity. Its S.I. unit is radian per second(rad/sec). It is denoted by omega(ω). This angular speed or angular velocity is basically applicable for the rotational motion.

We know that, speed(v)= radius(r) × angular speed(ω)

∴  The speed with which the rim is moved(v)=Radius of the rim(r)×angular speed(ω)

⇒ v=r×ω

⇒ω=v/r

⇒ω=12/0.75rad/s  [substituting the values of v and r]

⇒ω=(12/75)×100rad/s  [we can write 0.75 as 75/100]

⇒ω =1200/75rad/s

⇒ω=16rad/s

Hence the angular speed(ω) is 16 rad/s.