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
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The coin, rolling at an angular speed of 4 rotations per second, translates to a speed of 1440 degrees per second. This is calculated by multiplying the number of rotations by 360 degrees per rotation. Hence, 4 rotations/second results in 1440 degrees/second.
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