Angular Velocity | MCQs

Explanation

Explanation

Speed = 3000 RPM (revolutions per minute)

Step 1: Convert RPM to revolutions per second (RPS)

Step 2: Convert revolutions to radians

Since 1 revolution = 2π radians:

50 rev/sec×2π= 100π radians/sec

Explanation

 When a rigid body rotates around a fixed axis, all points on the body have the same angular speed, but not the same linear speed.

The linear speed of a point is directly proportional to its distance from the axis of rotation; points farther from the axis move faster

Explanation

To find the angle in radians per second, first convert the rpm (revolutions per minute) to radians per second.

3000 rpm =  3000/60 ​revolutions per second =  50 revolutions per second.

Each revolution is  2π radians.

So, 

50×2π=100π radians per second.

Explanation

The minute hand of a clock moves 360 degrees (or 2π radians) in 60 minutes, which is equivalent to 1 hour.

To find the angular velocity, we can use the formula:

ω = Δθ / Δt

where ω is the angular velocity, Δθ is the change in angle (2π radians), and Δt is the time (1 hour or 3600 seconds).

Plugging in the values, we get:

ω = 2π radians / 3600 s ≈ 0.00175 rad s⁻¹

So, the angular velocity of the minute hand is approximately 0.00175 rad s⁻¹.

Explanation