Question

A race car accelerates uniformly from a speed of 41.0 m/s to a
speed of 62.0 m/s in 5.00 s while traveling clockwise around a
circular track of radius 3.70 10^{2} m. When the
car reaches a speed of 50.0 m/s, find the following.

(a) the magnitude of the centripetal acceleration

______ m/s^{2}

(b) the angular speed

______ rad/s

(c) the magnitude of the tangential acceleration

____ m/s^{2}

(d) the magnitude of the total acceleration

____ m/s^{2}

Use the values from above to help you work this exercise.
Suppose the race car now slows down uniformly from 62.0 m/s to 29.0
m/s in 4.40 s to avoid an accident, while still traveling a
circular path 3.70 10^{2} m in radius.

(a) Find the magnitude of the centripetal acceleration when the
speed is 40.0 m/s.

m/s^{2}

(b) Find the angular speed when the speed is 40.0 m/s.

rad/s

(c) Find the magnitude of the tangential acceleration when the
speed is 40.0 m/s.

m/s^{2}

(d) Find the magnitude of the total acceleration when the speed is
40.0 m/s.

Answer #1

A race car accelerates uniformly from a speed of 32 m/s to a
speed of 63 m/s in 5.1 s while traveling counterclockwise around a
circular track of radius of 422 m. When the car reaches a speed of
46 m/s, find the magnitude of the total acceleration (centripetal +
tangential acceleration) in m/s2.

A compact disc rotates from rest up to an angular speed of 31.6
rad/s in a time of 0.913 s.
(a) What is the angular acceleration of the disc, assuming the
angular acceleration is uniform?
______________ rad/s2
(b) Through what angle does the disc turn while coming up to
speed?
rad
(c) If the radius of the disc is 4.45 cm, find the tangential
speed of a microbe riding on the rim of the disc.
____________ m/s
(d) What is...

1.) A truck covers 40.0 m in 9.30 s while uniformly slowing down
to a final velocity of 1.40 m/s.
(a) Find the truck's original speed.
m/s
(b) Find its acceleration.
m/s2
2.) In a test run, a certain car accelerates
uniformly from zero to 16.2 m/s in 2.55 s.
(a) What is the magnitude of the car's acceleration?
m/s2
(b) How long does it take the car to change its speed from 8.10 m/s
to 16.2 m/s?
(answer in...

A race car rounds a curve at 53 m/s. The radius of the curve is
413 m, and the car's mass is 605 kg. (Assume the car's speed
remains constant. Take the radially inward direction to be
positive. Indicate the direction with the sign of your answer.)
(a) What is the car's (centripetal) acceleration?
m/s2
What is it in g's?
g
(b) What is the centripetal force acting on the car?
N

2. A 100 cm rod is free to pivot about one end, and a 50 N force
is applied at the other end at an angle 20 degree to the
horizontal.
(i) Calculate the lever arm of the rod.
(ii) Calculate the torque about the pivot point.
3. Joe weighing 500 N sits 0.5 m to the left of center of the
seesaw 2 m long. Liz sits at the end on the opposite side of a
seesaw of mass...

A disk with mass m = 10.3 kg and radius R = 0.34 m begins at
rest and accelerates uniformly for t = 16.8 s, to a final angular
speed of ω = 26 rad/s.
1)
What is the angular acceleration of the disk?
rad/s2
2)
What is the angular displacement over the 16.8 s?
rad
3)
What is the moment of inertia of the disk?
kg-m2
4)
What is the change in rotational energy of the disk?
J
5)...

At t = 2.55 s a point on the rim of a 0.230-m-radius
wheel has a tangential speed of 53.5 m/s as the wheel slows down
with a tangential acceleration of constant magnitude 12.0
m/s2.
(a) Calculate the wheel's constant angular acceleration.
[-52 rad/s2]
(b) Calculate the angular velocities at t = 2.55 s and
t = 0.
ω2.55 s
= [ ] rad/s
ω0
= [ ] rad/s
(c) Through what angle did the wheel turn between t =...

3. A helicopter travelling at a velocity of 15 m/s [W]
accelerates uniformly at a rate of 7.0 m/s2 [E] for 4.0 s. What is
the helicopter’s final velocity?
4. Two go-carts, A and B, race each other around a 1.0
km track. Go-cart A travels at a constant speed of 20.0 m/s.
Go-cart B accelerates uniformly from rest at a rate of 0.333 m/s2 .
Which go-cart wins the race and by how much time?
5. A boat increases...

A car accelerates uniformly from rest and reaches a speed of
21.0 m/s in 9.05 s. Assume the diameter of a tire is 59.0 cm.
(a) Find the number of revolutions the tire makes during this
motion, assuming that no slipping occurs.
rev
(b) What is the final angular speed of a tire in revolutions per
second?
rev/s

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

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