The angular speed of the seconds needle in a mechanical watch is:
A
30π rad/s
B
2π rad/s
C
π rad/s
D
60π rad/s
Step-by-Step Solution
Definition: Angular speed (ω) is defined as the angle covered per unit time. For a complete revolution, the angle covered is 2π radians.
Time Period: The time period (T) is the time taken to complete one full revolution. For the seconds needle of a watch, it takes 60 seconds to complete one circle (T=60 s).
Calculation: Using the formula ω=T2π :
ω=602π=30π rad/s.
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