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Complete the following statement: The angular measure of 1.00 radian is equal to

ID: 2076578 • Letter: C

Question

Complete the following statement: The angular measure of 1.00 radian is equal to A) 0.0175 degree. B) 57.3 degree. C) 1.57 degree. D) 3.14 degree. E) 6.28 degree. The Earth takes slightly less than one day to complete one rotation about the axis passing through its poles. Given this information, what is the angular speed of the Earth about its axis? A) 7.292 times 10 rad/s B) 2.321 times 10 rad/s C) 9.951 times 10 rad/s D) 6.334 times 10 rad/s E) 1.990 times 10 rad/s A wheel with a 0.10-m radius is rotating at 35 rev/s. It then slows 15 rev/s over a 3.0-s interval. What is the angular acceleration of a point on the wheel? A) -2.0 rev/s^2 B) 0.67 rev/s^2 C) -6.7 rev/s^2 D) 42 rev/s^2 E) -17 rev/s^2 A grindstone of radius 4.0 m is initially spinning with an angular speed of 8.00 rad/s. The angular speed is then increased to 12 rad/s over the next 4.0 seconds. Assume that the angular acceleration is constant. What is the average angular speed of the grindstone? A) 0.5 rad/s B) 2.0 rad/s C) 4.0 rad/s D) 8.0 rad/s E) 10 rad/s What is the magnitude of the angular acceleration of the grindstone?

Explanation / Answer

Ans(1) We know that 2pi radian =360 degrees , so

1 radian= 360/2*pi= 57.295 degrees = 57.3degrees