The second hand on a watch has a length of 4.50 mm and makes one revolution in 60.00 s. What is the speed of the end

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Topic: Physics Posted 9 months ago

The second hand on a watch has a length of 4.50 mm and makes one revolution in 60.00 s. What is the speed of the end

The second hand on a watch has a length of 4.50 mm and makes one revolution in 60.00 s. What is the speed of the end of the second hand as it moves in uniform circular motion?

A) 9.42 × 10–4 m/s
B) 2.67 × 10–3 m/s
C) 4.71 × 10–3 m/s
D) 4.71 × 10–4 m/s
E) 2.36 × 10–5 m/s

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Koala Tutor

Mar 21, 2024

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The speed of the end of the second hand can be calculated using the formula for the speed of an object moving in a circle, which is v = 2πr/T, where r is the radius of the circle (the length of the second hand), T is the period of the motion (the time it takes for one revolution), and v is the speed.

Substituting the given values into the formula, we get:

v = 2π(4.50 × 10^-3 m)/(60.00 s) = 4.71 × 10^-4 m/s

So the correct answer is D) 4.71 × 10^-4 m/s.

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