The equatorial radius of the earth is
r = 6378 km = 6378 x 10³ m
The earth makes 1 revolution in 24 hours.
The angular velocity is
ω = (2π rad)/(24*3600 s) = 7.2722 x 10⁻⁵ rad/s
The tangential velocity (linear velocity) at a point on the equator is
v = rω
= (6378 x 10³ m)*(7.2722 x 10⁻⁵ rad/s)
= 463.8 m/s
Answer: 463.8 m/s
Answer:
displacement (x) = 0.003798 meters
Explanation:
from the fact that the string is hung vertically we can deduce that:
Total force acting on the mass = Fs (by spring) + Fg (by gravity)
<em>where</em>
Fs = k*x , x is the displacement..
Fg = m*g
then:
Ftot = m*a, <em>but a = 0 m/(s^2) because the mass becames stationary.</em>
Ftot = 0
Fs + Fg = 0
<em>by direction, take down as negative.</em>
Fs - Fg = 0
k*x = m*g
x = m*g/k = [(0.400)(9.8)]/(10.32)
= 0.3798 meters
