During a very quick stop, a car decelerates at 12(a) What is the angular acceleration of its 0.27 m radius tires, assuming they do not slip on thepavement? Hint: Don't forget the sign.a =SradS²(b) How many revolutions do the tires make before coming to rest, given their initial angular velocityradis 98-?3revolutions(c) How long does the car take to stop completely?t =S (d) What distance does the car travel in this time? Hint: How is the arc length traveled by a point onthe tire's rim related to the horizontal distance traveled by the tire?X =(e) What was the car's initial velocity?V₁ =mstop.(f) Do the values obtained seem reasonable, considering that this stop happens very quickly?The car is initially travelling atmSminmSs seemsso a stopping distance of✓for a panic

Answered: Image /qna-images/answer/df7091d1-3d06-4b08-abae-3a8bae1a8788.jpg

m During a very quick stop, a car decelerates at 12 $² (a) What is the angular acceleration of its 0.27 m radius tires, assuming they do not slip on the pavement? Hint: Don't forget the sign. α = (b) How many revolutions do the tires make before coming to rest, given their initial angular velocity rad is 98 S rad s² -? revolutions (c) How long does the car take to stop completely? t = S

m During a very quick stop, a car decelerates at 12 $² (a) What is the angular acceleration of its 0.27 m radius tires, assuming they do not slip on the pavement? Hint: Don't forget the sign. α = (b) How many revolutions do the tires make before coming to rest, given their initial angular velocity rad is 98 S rad s² -? revolutions (c) How long does the car take to stop completely? t = S

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 8CQ: A massless tether with a masses tied to both ends rotates about a fixed axis through the center. Can...

See similar textbooks

Similar questions

An ice skater is preparing for a jump with turns and has his arms extended. His moment of inertia is 1.8kgm2 while his arms are extended, and he is spinning at 0.5 rev/s. If he launches himself into the air at 9.0 m/s at an angle of 45 with respect to the ice, how many revolutions can he execute while airborne if his moment of inertia in the air is 0.5kgm2 ?
Olympic ice skaters are able to spin at about 5 rev/s. (a) What is their angular velocity in radians per second? (b) What is the centripetal acceleration of the skater's nose if it is 0.120 m from the axis of rotation? (c) An exceptional skater named Dick Button was able to spin much faster in the 1950s than anyone since—at about 9 rev/s. What was the centripetal acceleration of the tip of his nose, assuming it is at 0.120 m radius? (d) Comment on the magnitudes of the accelerations found. It is reputed that Button ruptured small blood vessels during his spins.
A gymnast does cartwheels along the floor and then launches herself into the air and executes several flips in a tuck while she is airborne. If her moment of inertia when executing the cartwheels is 13.5kgm2 and her spin rate is 0.5 rev/s, how many revolutions does she do in the air if her moment of inertia in the tuck is 3.4kgm2 and she has 2.0 s to do the flips in the air?
At its peak, a tornado is 60.0 m in diameter and carries 500 km/h winds. What is its angular velocity in revolutions per second?
The dung beetle is known as one of the strongest animals for its size, often forming balls of dung up to 10 times their own mass and rolling them to locations where they can be buried and stored as food. A typical dung ball formed by the species K. nigroaeneus has a radius of 2.00 cm and is rolled by the beetle at 6.25 cm/s. (a) What is the rolling balls angular speed? (b) How many full rotations are required if the beetle rolls the ball a distance of 1.00 m?
A wheel is rotating about a fixed axis with constant angular acceleration 3 rad/s2. At different moments, its angular speed is 2 rad/s, 0. and +2 rad/s. For a point on the rim of the wheel, consider at these moments the magnitude of the tangential component of acceleration and the magnitude of the radial component of acceleration. Rank the following five items from largest to smallest: (a) |at| when = 2 rad/s, (b)|ar| when = 2 rad/s, (c)|ar| when = 0, (d) |at| when = 2 rad/s, and (e) |ar| when = 2 rad/s. If two items are equal, show them as equal in your ranking. If a quantity is equal to zero, show that fact in your ranking.
Jupiter rotates about its axis once every 9 hours 55 minutes. a. What is Jupiter's angular speed of rotation? b. What is the effect of this rapid rotation on the shape of theplanet?
There an analogy between rotational and physical quantities. What rotational quantities are analogous to distance and velocity?
Integrated Concepts An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. (a) What is its angular acceleration in rad/s2? (b) What is the tangential acceleration of a point 9.50 cm from the axis of rotation? (c) What is the radial acceleration in m/s2 and multiples of g of this point at full rpm?
A bicycle wheel with radius 0.3 m rotates from rest to 3 rev/s in 5 s. What is the magnitude and direction of the total acceleration vector at the edge of the wheel at 1.0 s?
A massless tether with a masses tied to both ends rotates about a fixed axis through the center. Can the total acceleration of the tether mass combination be zero If the angular velocity Is constant?
An ultracentrifuge accelerates from to 100,000 rpm in 2.00 min. (a) What is the average angular acceleration in rad/s2 ? (b) What is the tangential acceleration of a point 9.50 cm from the axis of rotation? (c) What is the centripetal acceleration in m/s2 and multiples of g of this point at full rpm? (d) What is the total distance travelled by a point 9.5 cm from the axis of totation of the ultracentrifuge?