Question

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

Answer #1

A cyclist starts from rest and pedals such that
the wheels of his bike have a constant angular acceleration.
After 12 s, the wheels have made 40 rev.
What is the angular velocity of the wheels after 12 s in rad/s
?
rad/s
Tries 0/3
What is the angular acceleration of the wheels in rad/s2
?
rad/s2
Tries 0/3
If the radius of the wheel is 33 cm, and the wheel rolls without
slipping, how far has the cyclist (in...

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...

Starting from rest, a bicyclist pedals a bicycle such that the
angular acceleration of the wheels is a constant 1.40
rad/s2. The bicycle wheels are 34.5 cm in radius.
(a)What is the magnitude of the bicycle's linear acceleration
(in m/s2)?
_______ m/s2
(b)What is the angular speed of the wheels (in rad/s) when the
linear speed of the bicyclist reaches 11.6 m/s?
_____ rad/s
(c)How many radians have the wheels turned through in that
time?
______rad
d. How far (in...

A Ferris wheel rotates at an angular velocity of 2.3 rev/min.
Starting from rest, it reaches its operating speed with an average
angular acceleration of 0.030 rad/s2.
How long does it take the wheel to come up to operating
speed?
Through what angle (angular displacement) it rotates during
this time?

A bicyclist starting at rest produces a constant angular
acceleration of 1.10 rad/s2 for wheels that are 37.5 cm
in radius.
HINT
(a)
What is the bicycle's linear acceleration (in m/s2)?
(Enter the magnitude.)
m/s2
(b)
What is the angular speed of the wheels (in rad/s) when the
bicyclist reaches 10.6 m/s?
rad/s
(c)
How many radians have the wheels turned through in that
time?
rad
(d)
How far (in m) has the bicycle traveled?
m

A bicycle and its rider have a total mass of 83.0 kg. Each of
its wheels can be modeled as a thin hoop with mass 1.32 kg and
diameter of 70.0 cm. When the brakes are applied, two brake pads
squeeze the rims of each wheel. Assume that the four brake pads
exert normal forces on the wheels that are equal and constant in
magnitude. The coefficient of kinetic friction between a brake pad
and a wheel is 0.900. The...

A bicycle and its rider have a total mass of 70.0 kg. Each of
its wheels can be modeled as a thin hoop with mass 1.26 kg and
diameter of 70.0 cm. When the brakes are applied, two brake pads
squeeze the rims of each wheel. Assume that the four brake pads
exert normal forces on the wheels that are equal and constant in
magnitude. The coefficient of kinetic friction between a brake pad
and a wheel is 0.900. The...

A centrifuge takes 100 s to spin up with constant angular
acceleration (α) from rest to its final angular
speed of 1,875 (rad/s).
What is the angular acceleration (in rad/s2) of the centrifuge
as it spins up?
(Hint: use relationship
between angular velocity and angular acceleration)
(ii) How
many revolutions does the centrifuge make as it goes from rest to
its final
angular
speed? (Hint: use relationship between angular displacement
and
angular
acceleration, and noting that one revolution =
2 rads)...

a). A bicycle wheel has an initial angular velocity of 1.50
rads/s. If its angular acceleration is 0.300 rad/s^2, through what
angle has the wheel turned from t = 2.50 s to t = 5.00 s?
a.
3.7500 rads
b.
6.5625 rads
c.
11.2500 rads
d.
4.6875 rads

What is the angular displacement of a wheel that accelerates
from rest to 6 rad/s with an angular acceleration of 2
rad/s2?

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