How was the speed of light determined

The angular velocity of a clocks second hand, its minute hand, and its hour hand are 0.1047rad/s, 1.745 × 10⁻³rad/s and 1.454 × 10⁻⁴rad/s respectively.

Time period for second hand;

Time period for minute hand;

Time period for hour hand;

Now, we use the relation between angular speed and time period:

Where ω is the angular velocity and T is the time period in seconds.

For Second hand

For Minute hand

For Hour hand

Therefore, the angular velocity of a clocks second hand, its minute hand, and its hour hand are 0.1047rad/s, 1.745 × 10⁻³rad/s and 1.454 × 10⁻⁴rad/s respectively.

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Second hand:

1 rev per minute = (2π radians/minute) x (1 min/60sec) = π/30 rad/sec

Minute hand:

1 rev per hour = (2π radians/hour) x (1 hr/3600 sec) = π/1800 rad/sec

Hour hand:

1 rev per 12 hours = (2π rad/12 hr) x (1 hr/3600 sec) = π/21,600 rad/sec

As long as the clock is in good working order, and the hands are turning steadily at their normal rate, there is no angular acceleration.

1 whole wave is 1 crest and 1 trough.

20 crests and 20 troughs is 20 whole waves.

20 waves / 0.4 seconds = 50 waves per second.

Frequency = 50 Hz