Question

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/s^{2}?

rev/s^{2}

(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 its maximum angular speed of 2.2 rev/s in 7.3 s. You lift the lid of the washer and notice that the tub decelerates and comes to a stop in 19.5 s. Assuming that the tub rotates with constant angular acceleration while it is starting and stopping, determine the total number of revolutions undergone by the tub during this entire time interval.

3. At its peak, a tornado is 63.0 m in diameter and carries 275-km/h winds. What is its angular velocity in revolutions per second?

4. a. Calculate the linear acceleration of a car, the 0.230-m
radius tires of which have an angular acceleration of 15.0
rad/s^{2}. Assume no slippage and give your answer in
m/s^{2}.

m/s^{2}

(b) How many revolutions do the tires make in 2.50 s if they start from rest?

rev

(c) What is their final angular velocity in rad/s?

rad/s

(d) What is the final velocity of the car in m/s?

m/s

Answer #1

In a laundromat, during the spin-dry cycle of a washer, the
rotating tub goes from rest to its maximum angular speed of 9.7
rev/s in 8.8 s. You lift the lid of the washer and notice that the
tub decelerates and comes to a stop in 18.5 s. Assuming that the
tub rotates with constant angular acceleration while it is starting
and stopping, determine the total number of revolutions undergone
by the tub during this entire time interval.

The tub of a washer goes into its spin-dry cycle, starting from
rest and reaching an angular speed of 7.0 rev/s in 8.0 s. At this
point the person doing the laundry opens the lid, and a safety
switch turns off the washer. The tub slows to rest in 13.0 s.
Through how many revolutions does the tub turn during this 21 s
interval? Assume constant angular acceleration while it is starting
and stopping. rev

During a very quick stop, a car decelerates at 6.2 m/s2. Assume
the forward motion of the car corresponds to a positive direction
for the rotation of the tires (and that they do not slip on the
pavement). Randomized Variables at = 6.2 m/s2 r = 0.275 m ω0 = 93
rad/s
Part (a) What is the angular acceleration of its tires in
rad/s2, assuming they have a radius of 0.275 m and do not slip on
the pavement? α...

The tub of a washer goes into its spin-dry cycle, starting from
rest and reaching an angular speed of 4.0 rev/s in 8.0 s. At this
point, the person doing the laundry opens the lid, and a safety
switch turns off the washer. The tub slows to rest in 11.0 s.
Through how many revolutions does the tub turn during this 19 s
interval? Assume constant angular acceleration while it is starting
and stopping.
________rev

A dentist causes the bit of a high-speed drill to accelerate
from an angular speed of 1.67 x 104 rad/s to an angular
speed of 4.55 x 104 rad/s. In the process, the bit turns
through 3.10 x 104 rad. Assuming a constant angular
acceleration, how long would it take the bit to reach its maximum
speed of 9.71 x 104 rad/s, starting from rest?

A dentist causes the bit of a high-speed drill to accelerate
from an angular speed of 1.09 x 104 rad/s to an angular
speed of 5.01 x 104 rad/s. In the process, the bit turns
through 3.23 x 104 rad. Assuming a constant angular
acceleration, how long would it take the bit to reach its maximum
speed of 9.42 x 104 rad/s, starting from rest?

A dentist causes the bit of a high-speed drill to accelerate
from an angular speed of 1.31 x 10^4 rad/s to an angular speed of
3.22 x 10^4 rad/s. In the process, the bit turns through 1.59 x
10^4 rad. Assuming a constant angular acceleration, how long would
it take the bit to reach its maximum speed of 9.31 x 10^4 rad/s,
starting from rest?

The tub of a clothes washer goes into its spin-dry cycle
starting from rest and reaches an angular speed of 4.70 rev/s in
7.03 seconds. At this point, the person doing the laundry opens the
lid, and a safety switch turns off the washer. The tub then slows
to a stop in 20.04 seconds. Assuming a constant angular
acceleration, while the tub is starting and stopping, how many
revolutions does the tub turn during this 27.07 second
interval?

A wheel released from rest is rotating with constant angular
acceleration of 2.5 rad/s2.
(a) After 2.5 s, what is its angular velocity?
rad/s
(b) Through what angle has the wheel turned?
rad
(c) How many revolutions has it made?
rev
(d) What is the speed of a point 1.0 m from the axis of
rotation?
m/s
What is the magnitude of the total acceleration of the same
point?
m/s2

1. A wheel starts from rest and has an angular acceleration of
6.00 rad/s2 . When it has made 3.00 rev its angular
velocity in rad/s is:
2. A circular disk of radius 1.00 m rotates, starting from rest,
with a constant angular acceleration. What is the centripetal
acceleration of a point on the edge of the disk at the instant that
its angular speed is 2.50 rev/s?

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