Question

A clock has a continuously moving second's hand of 0.1 m length. The average acceleration of the tip of the hand (in units of ms^-2) is of the order of ______. 

Options

• 10^-3

• 10^-4

• 10^-2

• 10^-1

Answer 1

A clock has a continuously moving second's hand of 0.1 m length. The average acceleration of the tip of the hand (in units of ms^-2) is of the order of 10^-3.

Explanation:

Here, R = 0.1 m

ω = `(2pi)/"T"=(2pi)/60`= 0.105 rad/s 

Acceleration of the tip of the clock second's hand,

a = ω²R

= (0.105)² (0.1)

= 0.0011

= 1.1 × 10^-3 m/s²

Hence, average acceleration is of the order of 10^-3.