The Earth has an angular speed of 7.272·10-5 rad/s in
its rotation. Find the new angular speed if an asteroid (m
= 3.91·1022 kg) hits the Earth while traveling at a
speed of 2.87·103m/s (assume the asteroid is a point
mass compared to the radius of the Earth) in each of the following
cases:
a) The asteroid hits the Earth dead center.
b) The asteroid hits the Earth nearly tangentially in the
direction of Earth's rotation.
c) The asteroid hits...
The Earth has an angular speed of 7.272·10-5 rad/s in its
rotation. Find the new angular speed if an asteroid (m = 4.87·1022
kg) hits the Earth while traveling at a speed of 4.93·103 m/s
(assume the asteroid is a point mass compared to the radius of the
Earth) in each of the following cases:
a) The asteroid hits the Earth dead center.
b) The asteroid hits the Earth nearly tangentially in the
direction of Earth's rotation.
c) The asteroid...
A person is riding a bicycle, and its wheels have an angular
velocity of 22.0 rad/s. Then, the brakes are applied and the bike
is brought to a uniform stop. During braking, the angular
displacement of each wheel is 12.9 revolutions. (a) How much time
does it take for the bike to come to rest? (b) What is the anguar
acceleration (in rad/s2) of each wheel?
At t = 0, a flywheel has an angular velocity of 10 rad/s, an
angular acceleration of -0.44 rad/s2, and a reference line at ?0 =
0. (a) Through what maximum angle ?max will the reference line turn
in the positive direction? What are the (b) first and (c) second
times the reference line will be at ? = ?max/4? At what (d)
negative time and (e) positive time will the reference line be at ?
= -8.0 rad?
At t = 0, a flywheel has an angular velocity of 6.2 rad/s, an
angular acceleration of -0.18 rad/s2, and a reference line at θ0 =
0. (a) Through what maximum angle θmax will the reference line turn
in the positive direction? What are the (b) first and (c) second
times the reference line will be at θ = θmax/5? At what (d)
negative time and (e) positive time will the reference line be at θ
= -7.7 rad?
A wheel has an initial angular velocity of 1 rad/s and undergoes
an angular acceleration of 10 rad/s^2. (a) How many radians does it
rotate in 4 sec? (b) What is its angular velocity at this time?
Find (a) the angular velocity (rad/s) and (b) the linear
velocity (miles/hour) of a person standing in Sylmar (latitude 34
degrees north on Earth). Take R of Earth to be 4000 miles.
Ans should be about (a) 7.27 X
10-5 rad/s (b) ~ 900 mi/hr
Knowing that at the instant shown the angular velocity of rod BE is 4 rad/s counterclockwise, determine (a) the angular velocity of rod AD, (b) the velocity of collar D, (c) the velocity of point A.
A Wheel initially rotating at an angular velocity of 15.0 rad/s
is decelerating at a rate of 2.0 rad/s². How many revolutions will
the wheel make before coming to rest?