Question

On a moving bicycle, the angular momentum of the spinning wheels is directed to the rider’s left. If the bike is ridden “no handed”, what is the effect of the rider leaning to the left? That is, does the bike go left, go right, or continue straight ahead? Explain.

Answer #1

A person is riding a bicycle, the wheels of a bicycle have an
angular velocity of +24.5 rad/s. Then, the brakes are applied. In
coming to rest, each wheel makes an angular displacement of +10.5
revolutions. (a) How much time does it take for the bike to come to
rest? s (b) What is the angular acceleration of each wheel?
rad/s2

17. What is responsible for keeping a spinning top stable or
moving bicycle upright?
a. Conservation of Energy Law
b. Newton’s Third Law
c. Angular Momentum Conservation Law

What is the angular momentum of a figure skater spinning at
3.2rev/s with arms in close to her body, assuming her to be a
uniform cylinder with a height of 1.5m , a radius of 16cm , and a
mass of 55kg?
How much torque is required to slow her to a stop in 4.4s ,
assuming she does not move her arms?

What is the angular momentum of a figure skater spinning at 2.3
rev/s with arms in close to her body, assuming her to be a uniform
cylinder with a height of 1.5 m, a radius of 16 cm , and a mass of
49 kg ?
How much torque(in magnitude) is required to slow her to a stop
in 4.8 s , assuming she does not move her arms?

a. What is the angular momentum of a figure skater spinning at
2.0 rev/s with arms in close to her body, assuming her to be a
uniform cylinder with a height of 1 m, a radius of 0.2 m, and a
mass of 50 kg?
b. How much torque is required to slow her to a stop in 5.0 s,
assuming she does not move her arms?

Use the concept of conservation of angular momentum to explain
the following observations: (you should lean heavily on carefully
drawn diagram(s) for these explanations!)
a) You are sitting on a rotating chair. Somebody hands you a
spinning bicycle wheel with the axle horizontal. If you tip the
wheel to one side, you and the chair start to rotate in one
direction. If you tip the wheel to the other side, you and the
chair rotate in the other direction.
b)...

Angular momentum L in a rotating system is defined as L = I?
(moment of inertia times angular speed). If there are no external
forces changing the rotation (a force that changes rotation is a
called a torque), then the total angular momentum of the system
remains constant. In other words, raising or lowering one value (I
or ?) makes the other change accordingly, because their product
remains constant. Watch the YouTube video linked below. Ice skaters
always go into...

Please show work, I'm having trouble answering these :(
1)A bicycle with 0.3 m radius wheels, is moving such that the
angular speed of each wheel is 75 rad/s. If the bicyclist then
applies the brakes and the wheels slow with an angular acceleration
of -15 rad/s2, how many revolutions will each wheel make before the
bike stops?
A. 188 revolutions
B. 1.07e4 revolutions
1C.14.7 revolutions
D. 62.7 revolutions
E.29.8 revolutions
2)You tie the loose end of a 0.1 kg...

If the earth is a perfect sphere, spinning with angular
velocity, Ω. You are standing on the surface of the earth, at the
latitude of New York, and you drop a rock. If you draw a line from
the rock to the center of the earth, it would intersect the ground
at a point X.
a) What are the forces on the rock, in your rotating reference
frame, at the instant you let go of the rock, but before it...

Suppose the earth is a perfect sphere, spinning with its usual
angular velocity, Ω. You are ~ standing on the surface of the
earth, at 40 degrees N latitude, and you drop a rock. If you draw a
line from the rock to the center of the earth, it would intersect
the ground at a point X.
(a) Write down the forces on the rock, in your rotating
reference frame, at the instant you let go of the rock, but...

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