Question

Angular velocity of minute hand of a clock is

• A. $\frac{\pi}{30} rad\,s^{-1}$
• B. $\pi\,rad\,s^{-1}$
• C. $2\pi\,rad\,s^{-1}$
• D. $\frac{\pi}{1800} rad\,s^{-1}$

Hint:

According to the formula, angular velocity (ω) = position angle (θ) / time (t)

Answer 1

The Correct Option is D

The correct answer is Option D) \(\frac{\pi}{1800} rad\,s^{-1}\)

The minute hand of a clock rotates through an angle of 2\(\pi\) in 60 min 

1 hr = 60 min = 3600 sec

According to the formula, angular velocity (ω) = position angle (θ) / time (t)

Therefore, Angular velocity  ω= θ​/t = 2π​ / 3600 =π​ / 1800 rads⁻¹

Discover More From this Chapter: Motion in a Plane

Answer 2

The correct answer is Option D) \(\frac{\pi}{1800} rad\,s^{-1}\)

Real Life Applications

• A roulette ball on a wheel, a race vehicle on a circuit,
• Ferris wheel Car Turning a Corner.
• Spinning Top. Diver Performing a Somersault.
• Merry-Go-Round.
• Figure Skater Spinning.
• Pendulum Clock.
• Throwing a Frisbee.
• Spinning Washing Machine. are examples of angular velocity.

Question can also be asked as

1. What is the angular speed of the minute hand of a clock?
2. How fast does the minute hand of a clock move?
3. What is the angular displacement of the minute hand of a clock in one hour?
4. How many radians does the minute hand of a clock move in one hour? What is the linear velocity of the tip of the minute hand of a clock?

Answer 3

The correct answer is Option D) \(\frac{\pi}{1800} rad\,s^{-1}\)

The distance traveled by a body in terms of rotation and revolutions per unit of time is calculated using the angular velocity formula. 

• An object traveling in a circular path has an overall angular velocity.
• An angle that a particle makes while moving in a circle is referred to as its displacement. Since its direction is along the axis, an angular displacement is an axial vector.

Angular Velocity Formula

angular velocity (ω) = position angle (θ) / time (t)

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Differences Between Acceleration and Velocity	Moment of Torque	Derivation of Drift Velocity