Question

(a) What is the angular speed ω about the polar axis of a point on Earth's surface at a latitude of 44° N? (Earth rotates about that axis.) (b) What is the linear speed v of the point? What are (c) ω and (d) v for a point at the equator? (Note: Earth radius equals 6370 km and let one day be 24 hours)

Answer 1

Solution:-

a) angular speed = 1 revolution / 1 day

= 2 rad/ 86400s

= 7.27 x 10-5 rad/s

b) linear speed at 56 N will be  V = rcos 56

= 6370 x 103 x 7.27 x 10-5 x cos 56

= 259.04 m/s

c) angular velocity will be same on points on the earth hene at equator = 7.27 x 10-5 rad/s

d) linear velocity at equator ,v = rw cos 0 = 6370 x 103 x 7.27 x 10-5 x 1

= 463.24 m/s