A newly discovered planet has a mean radius of 3360km. A vehicle on the planet's surface is moving in the same direction as the planet's rotation, and its speedometer reads 161km/h. If the angular velocity V of the vehicle about the planet's center is 1.13 times as large as the angular velocity p of the planet, what is the period T o

Question

A newly discovered planet has a mean radius of

3360 km

. A vehicle on the planet's surface is moving in the same direction as the planet's rotation, and its speedometer reads

161 km / h

. If the angular velocity

ω_{V}

of the vehicle about the planet's center is 1.13 times as large as the angular velocity

ω_{p}

of the planet, what is the period

T

of the planet's rotation in hours?

T =

h Now the vehicle reverses direction. What speed

v

must the vehicle have, as measured by the speedometer, in order to have an angular velocity that is equal and opposite to the planet's?

v =

km / h

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