Answered

A coin rolls across the floor at an angular speed of 4 rotations per second. What is its speed in degrees per
second? Hint: One full rotation equals 360 degrees.

Answer :

cxcharlie
If there are 4 rotations per second and 360 degrees in 1 rotation, the angular speed is 1440 degrees per second. (4 * 360) 

Usually angular speed is measured in radians though.

Speed in degrees per second or angular speed will be 25.13 radian

What is an angular speed?

Angular speed is defined as the rate of change of angular displacement and can be expressed as angular rotation /  time

Total number of rotations = 4

one rotation makes an angle of = 360° = 2 π radian

coil is rolling at an angular speed of 4 rotation / second

4 rotations will make = 2π * 4 = 25.13 radian

hence , speed in degrees per second or angular speed will be 25.13 radian

Learn more about angular speed :

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