Question

a) A car accelerates uniformly from rest and reaches a speed of 13.7 m/s in 10.9 s. The diameter of a tire is 71.8 cm. Find the number of revolutions the tire makes during this motion, assuming no slipping. Answer in units of rev.

b) What is final rotational speed of a tire? Answer in units of rev/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.

1. A dentist using a dental drill brings it from rest to maximum
operating speed of 364,000 rpm in 3.2 s. Assume that the drill
accelerates at a constant rate during this time.
(a) What is the angular acceleration of the drill in
rev/s2?
rev/s2
(b) Find the number of revolutions the drill bit makes during
the 3.2 s time interval.
rev
2. In a laundromat, during the spin-dry cycle of a washer, the
rotating tub goes from rest to...

A car accelerates uniformly from rest to 17.9 m/s in 6.31 s
along a level stretch of road. Ignoring friction, determine the
average power required to accelerate the car if (a) the weight of
the car is 8.28 x 103 N, and (b) the weight of the car is 1.58 x
104 N.

A disk rotates about its central axis starting from rest and
accelerates with constant angular acceleration. At one time it is
rotating at 11.0 rev/s; 35.0 revolutions later, its angular speed
is 21.0 rev/s. Calculate (a) the angular
acceleration (rev/s2), (b) the time
required to complete the 35.0 revolutions, (c) the
time required to reach the 11.0 rev/s angular speed, and
(d) the number of revolutions from rest until the
time the disk reaches the 11.0 rev/s angular speed.

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...

mike tyson's punch starts from rest and accelerates uniformly at
100 m/s^2 while moving 50 cm. the speed of his hand immediately
before landing on his opponent's jaw is

23)
A disc launcher, accelerates a disc from rest at a speed of 25.0m /
s when turning it 1.35 rev. Suppose the disk moves in the arc of a
circle of 1.00m radius. a) Calculate the final angular speed of the
disk. b) Determine the magnitude of angular acceleration of the
disk, assuming it is constant. c) Calculate the time interval
required for the disk to accelerate from rest to 25.0m / s.

A merry-go-round starts from rest and accelerates uniformly over
26.5 s to a final angular velocity of 6.90 rev/min.
(a) Find the maximum linear speed of a person sitting on the
merry-go-round 7.25 m from the center.
(b) Find the person's maximum radial acceleration.
(c) Find the angular acceleration of the merry-go-round.
(d) Find the person's tangential acceleration.

A merry-go-round starts from rest and accelerates uniformly over
19.5 s to a final angular velocity of 6.25 rev/min.
(a) Find the maximum linear speed of a person sitting on the
merry-go-round 4.00 m from the center.
(b) Find the person's maximum radial acceleration.
(c) Find the angular acceleration of the merry-go-round.
(d) Find the person's tangential acceleration.

An automobile accelerates from rest to a final speed of 25 m/s
over 19.2 s. Then the automobile continues traveling at its final
speed for an additional 28.6 s. What is the total distance traveled
over the full time (in meters)?

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