The earth’s radius is 6.37×106 m; it rotates once every 24 hours. a. What is the earth’s angular speed? b. Viewed from a point above the north pole, is the angular velocity positive or negative? c. What is the speed of a point on the equator? d. What is the speed of a point on the earth’s surface halfway between the equator and the pole? (Hint: What is the radius of the circle in which the point moves?)

Question

The earth’s radius is 6.37×106 m; it rotates once every 24 hours.  a. What is the earth’s angular speed?  b. Viewed from a point above the north pole, is the angular velocity positive or negative?  c. What is the speed of a point on the equator?  d. What is the speed of a point on the earth’s surface halfway between the equator and the pole? (Hint: What is the radius of the circle in which the point moves?)

Cleveland Walters · Accepted Answer

Hai, since there are multiple sub parts posted, we will answer the first three sub parts.  a)  The angular speed is given by,  ω=2πT  Here, T is the time period of rotation.  Substituting the value,  ω=2π24×3600 s  =7.27×10−5 rad/s  b) When viewed from the north pole, the earth rotates anticlockwise. Hence the angular velocity is positive.  c) The speed of a point on the equator is given by,  v=rω  Here, r is the radisu of the earth.  Substituting the values.  v=(6.37×106 m)(7.27×10−5 rads)  =463.1 ms

The earth’s radius is 6.37\times10^6 m; it rotates once every 24

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