21ST CENT.AST.W/WKBK+SMARTWORK >BI<
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ISBN: 9780393415216
Author: Kay
Publisher: NORTON
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Chapter 2, Problem 23QP
(a)
To determine
Find the time it will take for Earth to complete one spin.
(b)
To determine
Find the time it will take for Earth to complete one wobble.
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A roller coaster consists of a hollow cylindrical radius r=2.4 m. Riders stand along the inside of the surface, and the cylinder then accelerates to a rotational rate of 33 revolutions per minute. Riders are kept from falling by frictional forces with the wall. Assume mrider=50 kg.
a. What rotational speed do the riders reach, in meters per second?
b. What acceleration are the riders experiencing?
c. What force is providing a centripetal acceleration, and how big must it be?
During a very quick stop, a car deceleraes at 7.00 m/s^2.a. What is the angular acceleration of its 0.280-m-radius tires, assuming they do not slip on the pavement?b. How many revolutions do the tires make before coming to rest, given their initial angular velocity is 95.0 rad/s?c. How long does the car take to stop completely?d. What distance does the car travel in this time?e. What was the car’s initial velocity?f. Do the values obtained seem reasonable, considering that this stop happens very quickly?
A child with mass 42 kg sits on the edge of a merry-go-round at a distance of 3.0
m from its axis of rotation. The merry-go-round accelerates from rest up to 0.40
rev/s in 10 s.
a. What is the angular acceleration of the merry-go-round? Express this in
radians/second.
b. What is the angular velocity at 5 s?
c. Calculate the centripetal acceleration and tangential acceleration at 5 s.
d. What is the total acceleration at 5 s?
e. If the coefficient of static friction between the child and the surface of the
merry-go-round is 0.6, does the child fall off before 5 s? Hint: To
determine this, calculate the frictional force and force due to the
acceleration of the merry-go-round on the child. Compare the two forces
to find which is larger than the other, therefore overcomes the other.
Chapter 2 Solutions
21ST CENT.AST.W/WKBK+SMARTWORK >BI<
Ch. 2.1 - Prob. 2.1ACYUCh. 2.1 - Prob. 2.1BCYUCh. 2.2 - Prob. 2.2CYUCh. 2.3 - Prob. 2.3CYUCh. 2.4 - Prob. 2.4CYUCh. 2.5 - Prob. 2.5CYUCh. 2 - Prob. 1QPCh. 2 - Prob. 2QPCh. 2 - Prob. 3QPCh. 2 - Prob. 4QP
Ch. 2 - Prob. 5QPCh. 2 - Prob. 6QPCh. 2 - Prob. 7QPCh. 2 - Prob. 8QPCh. 2 - Prob. 9QPCh. 2 - Prob. 10QPCh. 2 - Prob. 11QPCh. 2 - Prob. 12QPCh. 2 - Prob. 13QPCh. 2 - Prob. 14QPCh. 2 - Prob. 15QPCh. 2 - Prob. 16QPCh. 2 - Prob. 17QPCh. 2 - Prob. 18QPCh. 2 - Prob. 19QPCh. 2 - Prob. 20QPCh. 2 - Prob. 21QPCh. 2 - Prob. 22QPCh. 2 - Prob. 23QPCh. 2 - Prob. 24QPCh. 2 - Prob. 25QPCh. 2 - Prob. 26QPCh. 2 - Prob. 27QPCh. 2 - Prob. 28QPCh. 2 - Prob. 29QPCh. 2 - Prob. 30QPCh. 2 - Prob. 31QPCh. 2 - Prob. 33QPCh. 2 - Prob. 34QPCh. 2 - Prob. 35QPCh. 2 - Prob. 36QPCh. 2 - Prob. 37QPCh. 2 - Prob. 38QPCh. 2 - Prob. 39QPCh. 2 - Prob. 40QPCh. 2 - Prob. 41QPCh. 2 - Prob. 42QPCh. 2 - Prob. 43QPCh. 2 - Prob. 44QPCh. 2 - Prob. 45QP
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- Suppose a Piece of food is on the edge of a rotating microwave oven plate. Does it experience nonzero tangential acceleration, centripetal acceleration, or both when: (a) The plate to spin? (b) The plate rotates at constant angular velocity? (c) The plate slows to a halt?arrow_forwardThe angular velocity of a rotating rigid body increases from 500 to 1500 rev/min in 120 s. (a) What is the angular acceleration of the body? (b) Through what angle does it turn in this 120 s?arrow_forwardA compact disc rotates at 500 rev/min. If the diameter of the disc is 120 mm, (a) what is the tangential speed of a point at the edge of the disc? (b) At a point halfway to the center of the disc?arrow_forward
- A particle moves 3.0 m along a circle of radius 1.5 m. (a) Through what angle does it rotate? (b) If the particle makes this trip in 1.0 s at a constant speed, what is its angular velocity? (c) What is its acceleration?arrow_forwardDuring a 6.0-s time interval, a fly-wheel with a constant angular acceleration turns through 500 radians that acquire an angular velocity of 100 rad/s. (a) What is the angular velocity at the beginning of the 6.0 s? (b) What is the angular acceleration of the fly-wheel?arrow_forwardDuring a very quick stop, a car decelerates at 7.00 m/s2. (a) What is the angular acceleration of its 0.280-m-radius tires, assuming they do not slip on the pavement? (b) How many revolutions do the tires make before coming to rest, given their initial angular velocity is 95.0 rad/s? (c) How long does the car take to stop completely? (d) What distance does the car travel in this time? (e) What was the car's initial velocity? (f) Do the values obtained seem reasonable, considering that this stop happens very quickly?arrow_forward
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