Question

The wheels on a car have a radius of 0.250 m. The car starts from rest and the driver accelerates the car at a constant rate and reaches a speed of 47.0 miles per hour in 7.0 s. a) Calculate the angular acceleration of the wheels of the car. b) The driver applies the brakes for 5.0 s which decelerates the car at a rate of 15.0 rad/s2. Calculate the total distance the car traveled during the entire 12.0 s trip. c) What is required for the tires to rotate rather than slip?

Answer #1

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a car starts from rest and accelerates uniformly, until it has
traveled 15km and acquired a velocity of 30m/s. the car then moves
at this constant velocity of 30 m/s for 15 minutes. the driver then
applied the brakes and the car stopped after 5 minutes.
find
the acceleration during the last part of the trip: a1=
The acceleration during the last part of the trip: a3=
The total distance traveled during the whole trip: dtot=

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...

1. A wheel starts from rest, when a torque applied to it
accelerates it at 40 rad/s . If allowed to accelerate for 5s, how
fast would the wheel be spinning?
2. A wheel starts from rest, when a torque applied to it
accelerates it at 40 rad/s . If allowed to accelerate for 5s, how
much, in radians, would it rotate?
3. A car has wheels with a radius of 20cm. If the car is
initially driving at 25...

a
car starts from rest and travels 8.0s with a uniform acceleration
of +2.0 m/s^2. the driver then applies the brakes, causing a
uniform acceleration of -3.0 m/s^2. if the brakes are applied for
5.0s, determine each of the following.
a. how fast is the car going at the end of the braking
period?
b. how far has the car gone?

A car initially traveling at 29.2 m/s undergoes a constant
negative acceleration of magnitude 2.00 m/s2 after its
brakes are applied
(a) How many revolutions does each tire make before the car
comes to a stop, assuming the car does not skid and the tires have
radii of 0.300 m?
(b) What is the angular speed of the wheels when the car has
traveled half the total distance?
rad/s

A car initially traveling at 25.7 m/s undergoes a constant
negative acceleration of magnitude 1.80 m/s2 after its
brakes are applied.
(a) How many revolutions does each tire make before the car
comes to a stop, assuming the car does not skid and the tires have
radii of 0.320 m?
rev
(b) What is the angular speed of the wheels when the car has
traveled half the total distance?
rad/s

A car starts from rest and travels for 7.5 s with a uniform
acceleration of +2.8 m/s2. The driver then applies the
brakes, causing a uniform acceleration of −2.5 m/s2.If
the brakes are applied for 1.0 s, determine each of the
following.
(a) How fast is the car going at the end of the braking period?
m/s
(b) How far has the car gone? m

A car starts from rest and travels for 8.0 s with a uniform
acceleration of +1.8 m/s2. The driver then applies the
brakes, causing a uniform acceleration of -2.0 m/s2. If
the brakes are applied for 3.0 s, determine each of the
following.
(a) How fast is the car going at the end of the braking
period?
(b) How far has it gone?

A sphere begins rolling down an incline. It starts from
rest and rolls with an angular acceleration of 0.5
rad/s2.
The sphere reaches the bottom of the incline after 5
seconds. What is the angular velocity of the sphere at this
point?
How many times did the sphere rotate before reaching the
bottom?
Assuming the sphere has a radius of 0.25 m,
calculate:
The acceleration of the sphere
The speed of the sphere at the bottom of the
incline
The...

A flywheel with a radius of 0.500 m starts from rest and
accelerates with a constant angular acceleration of 0.800 rad/s2
.
1) Compute the magnitude of the resultant acceleration of a
point on its rim after it has turned through 60.0. (m/s^2)
2) Compute the magnitude of the resultant acceleration of a
point on its rim after it has turned through 120.0. (m/s^2)

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