Question

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

Answer 1

The linear velocity of the clock hand is 0.200 cm per minute.

Answer 2

Answer:

The linear velocity is 0.5233 centimeters per minute.

Step-by-step 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

$\omega=\frac{2\pi}{T}$

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

$1 hr=60\text{ minute}$

$\omega=\frac{2\times 3.14}{60}$

$\omega=\frac{6.28}{60}$

$\omega=0.104\text{ rad/min}$

We have given, r=5 cm

Substitute in the formula,

$V=r\omega$

$V=5\times 0.104$

$V=0.5233$

Therefore, The linear velocity is 0.5233 centimeters per minute.