What is the angular velocity of the second hand of a clock in RPM?

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The seconds hand of a clock completes one rotation in 1 minute i.e 60 seconds. Thus, option C is correct. The second hand therefore makes one revolution every minute – that is, 1 revolution per minute (rpm), which is 1/60 of a revolution per second, which is 6 degrees per second.

How do you calculate angular velocity in rpm?

Revolutions per minute can be converted to angular velocity in degrees per second by multiplying the rpm by 6, since one revolution is 360 degrees and there are 60 seconds per minute. If the rpm is 1 rpm, the angular velocity in degrees per second would be 6 degrees per second, since 6 multiplied by 1 is 6.

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What is the angular velocity of second hand and minute hand of a clock?

Since the minute hand of a clock completes a circular revolution in 60 minutes, the angular velocity of the minute hand is, ω=2π60×60=π1800=1.75×10-3rad⋅s-1 . Since the hour of a clock completes a circular revolution in 12 hours, the angular velocity of the hour hand is, ω=2π12×60×60=π21600=1.45×10-4rad⋅s-1.

What is the angular velocity of the hand of a clock?

Hence, the angular velocity of the minute hand on a clock is π1800rad/s.

What is the velocity and speed of the second hand of the clock?

The seconds hand of a clock completes one rotation in 1 minute i.e 60 seconds. Thus, option C is correct. The second hand therefore makes one revolution every minute – that is, 1 revolution per minute (rpm), which is 1/60 of a revolution per second, which is 6 degrees per second.

Is angular velocity measured in RPM?

In engineering, angles or angular displacements are commonly expressed in degrees or revolutions (of 360°), and angular velocities in revolutions per minute (rpm). In mathematics and physics, angles are usually expressed in radians and angular velocities in radians per second.

How do you convert velocity to angular velocity?

We can write the relationship between linear velocity and angular velocity in two different ways: v=rω or ω=v/r.

How do you find angular velocity from RPM in radians per second?

Thus, the angular frequency in radians per second is equal to the frequency in revolutions per minute divided by 60 times 2 times pi.

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