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 [tex]V=r\omega[/tex]
Where, [tex]\omega[/tex] is the angular velocity
[tex]\omega=\frac{2\pi}{T}[/tex]
Now, for minute hand, time period is 1 hour.
[tex]1 hr=60\text{ minute}[/tex]
[tex]\omega=\frac{2\times 3.14}{60}[/tex]
[tex]\omega=\frac{6.28}{60}[/tex]
[tex]\omega=0.104\text{ rad/min}[/tex]
We have given, r=5 cm
Substitute in the formula,
[tex]V=r\omega[/tex]
[tex]V=5\times 0.104[/tex]
[tex]V=0.5233[/tex]
Therefore, The linear velocity is 0.5233 centimeters per minute.
Answer: .52 is the answer to the nearest hundredth
Step-by-step explanation:
Ed ge 20 21
