The length of the seconds hand of laboratory clock is 0.1m. Calculate the speed at the top of the seconds hand
A
1.05 × 10\(^{-2}\)ms\(^{-1}\)
B
1.85 × 10\(^{-4}\)ms\(^{-1}\)
C
9.50 × 10\(^{-1}\)ms\(^{-1}\)
D
5.25 × 10\(^{-3}\)ms\(^{-1}\)
Verified Correct Answer: A.
Physical Principles & Numerical Solution
\(\text{Circumference} \, (d) = 2 \pi r = 2 \pi (0.1) \approx 0.6283 \, \text{m}\)
\(\text{Time for one revolution} \, (t) = 60 \, \text{s}\)
\(\text{Speed} \, (v) = \frac{d}{t} = \frac{0.6283}{60} \approx 0.01047 \, \text{m/s} \approx 1.05 \times 10^{-2} \, \text{ms}^{-1}\)
Source: Myschool Past Questions Archive (Record #55693)