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The minute hand of a clock is 5 cm long. What is the linear velocity, in centimeters per minute, at the tip of the minute hand? Round your answer to the nearest hundredth

2 Answers

3 votes

Answer: .52 is the answer to the nearest hundredth

Explanation:

Ed ge 20 21

User Brittonv
by
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5 votes

Answer:

The linear velocity is 0.5233 centimeters per minute.

Explanation:

Given : The minute hand of a clock is 5 cm long.

To find : What is the linear velocity, in centimeters per minute, at the tip of the minute hand?

Solution :

The formula to find the linear velocity is
V=r\omega

Where,
\omega is the angular velocity


\omega=(2\pi)/(T)

Now, for minute hand, time period is 1 hour.


1 hr=60\text{ minute}


\omega=(2* 3.14)/(60)


\omega=(6.28)/(60)


\omega=0.104\text{ rad/min}

We have given, r=5 cm

Substitute in the formula,


V=r\omega


V=5* 0.104


V=0.5233

Therefore, The linear velocity is 0.5233 centimeters per minute.

User Guillaume Laurent
by
6.4k points