Question

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

Answer 1

Answer:

Explanation:

Angular velocity is ratio of angle moved to time taken. In one rotational angle moved will be 2π radian and time will be equal to time period T. The angular velocity of the hour hand of a clock = 30 deg/60 min = 30 deg/hr = 0.5 deg/min = 0.008333 deg/sec

Answer 2

The angular velocity of the hour hand of a clock is 2π/12 hrs or

1/120 degree per hour

The Angular velocity:

• Angular velocity is the vector measure of the rate rotation, which refers to how fast an object rotates with relative to another point.

• In simple word, Angular velocity is the rate of time at which an object revolves about an axis in a given time.
• It is represented by the Greek letter omega (ω). And it will measured in angle per unit time;
• The SI unit of angular velocity is radians per second

The angular velocity is expressed as follows

                                     ω = θ/t

Where ω = the angular velocity,

            θ = the angular displacement, and

             t = the change in time  

Angular Velocity of the Hour hand

As we an hour hand of a clock completes one round i.e 360° in 12 hours.

Therefore, the angular velocity of the hour hand can be calculated as given below

    ω = θ/t  = 360°/12hrs        

    ω = 360°/43200             [ 12 hrs = 43200 sec ]

    ω = 1°/120 degree per sec  

   

Angular Velocity of the Hour hand ω = 1°/120 degree per sec    

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