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: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 cmSubstitute 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.