Question

The linear speed of the seconds hand of a wall clock is 1 cm/s. The length of the seconds hand is nearly

Answer 1

Given :

The linear speed of the second hand = 1 cm/s

To find :

The length of the second hand .

Solution :

The second's hand covers 2π rad in 60 seconds .

The angular speed of the second hand = 2π / 60 rad/s

radius or length of the second hand = ( linear speed ) / ( angular speed )

=> length = 1 * 60 /  2π

=> length = 9.5 cm ( approx. )

The length of the second hand os nearly 9.5 cm .

Answer 2

Answer:

Step-by-step explanation:

Seconds hand travels a distance or complete 1 revolution in 60sec and as we know

Angular speed = angular displacement / Time

So when a second hand complete one revolution then it comes to its initial position and make 360° angle. (π=180°)

So Angular speed = 2π / 60

Linear speed = radius * Angular speed

radius = Linear speed / Angular speed

r = 1/2π/60 = 1 * 60/2π = 9.5cm (approx)