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Question

# What is the angular speed of the second hand of a clock? If the second hand is 10cm long, then find the linear speed of its tip. (in rad/s and m/s)

A
0.1047,0.01047
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B
1047,0.01047
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C
0.1047,1047
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D
0.0047,0.01047
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Solution

## The correct option is A 0.1047,0.01047Angular speed is the rate at which an object changes its angle in radians, in a given time period.Angular speed ω= angular displacementtime= θtIn one complete rotation, second hand cover 2π rad of angular displacment in 60 seconds.Angular speed ω= (θ)t = 2π60 =0.1047 rad/sSpeed of linear Tip v= radius× angular speed v= 0.1m×0.1047 = 0.01047m/sHence Option (A) is correct.

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