It takes 23 hours 56 minutes and 4 seconds for the earth to make one revolution (mean sidereal day). What is the angular speed o
f the earth? Assume the earth is spherical. Relative to someone on the rotation axis, what is the linear speed of an object on the surface if the radius vector from the center of the earth to the object makes an angle of 48.0� with the axis of rotation. The radius of the earth is 6.37�103 km. What is the acceleration of the object on the surface of the earth in the previous problem? 2. A bicycle is moving at a speed v = 3.80 m/s. If the radius of the front wheel is 0.450 m, how long does it take for that wheel to make a complete revolution? 3. A tire placed on a balancing machine in a service station starts from rest and turns through 19.0 revolutions in 9.53 s before reaching its final angular speed. Calculate its angular acceleration.
1 answer:
You might be interested in
Answer:
Explanation:
The horizontal distance covered by the ball in the falling is only determined by its horizontal motion - in fact, it is given by
where
is the horizontal velocity
t is the time of flight
The time of flight, instead, is only determined by the vertical motion of the ball: however, in this problem the vertical velocity is not changed (it is zero in both cases), so the time of flight remains the same.
In the first situation, the horizontal distance covered is
in the second case, the horizontal velocity is increased to
And so the new distance travelled will be
So, the distance increases linearly with the horizontal velocity.