than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravi keeping the passengers pressed firmly into their seats. D B minimum Imaximum с A What is the speed, in m/s, of the roller coaster at the top of the loop if the radius of curvature there is 16.0 m and the downward acceleration of the car is 1.50 g? 24.5 What is the relationship between centripetal acceleration and tangential speed? m/s

than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravi keeping the passengers pressed firmly into their seats. D B minimum Imaximum с A What is the speed, in m/s, of the roller coaster at the top of the loop if the radius of curvature there is 16.0 m and the downward acceleration of the car is 1.50 g? 24.5 What is the relationship between centripetal acceleration and tangential speed? m/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

Chapter4: Motion In Two And Three Dimensions

Section: Chapter Questions

Problem 64P: A runner taking part in the 200-m dash must run around the end of a track that has a circular arc...

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A runner taking part in the 200-m dash must run around the end of a track that has a circular arc with a radius of curvature of 30.0 m. The runner starts the race at a constant speed. If she completes the 200-m dash in 23.2s and rum at constant speed throughout the race, what is her centripetal acceleration as she runs the curved portion of the track?
A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal circular path the riders follow has an 8.00-m radius, at how many revolutions per minute are the riders subjected to a centripetal acceleration equal to that of gravity?
What is the average speed in mi/h of a person at the equator as a result of the Earths rotation? (Take the radius of the Earth to be RE = 4000 mi.)
A geosynchronous satellite orbits Earth at a distance of 42,250.O km and has a period of 1 day. What is the centripetal acceleration of the satellite?
Cam Newton of the Carolina Panthers throws a perfect football spiral at 8.0 rev/s. The radius of a pro football is 8.5 cm at the middle of the short side. What is the centripetal acceleration of the laces on the football?
A pilot performing a horizontal turnwill lose consciousness if she experiences a centripetal acceleration greater than 7.00 times the acceleration of gravity. Whatis the minimum radius turn she can make without losing consciousness if her plane is flying with a constant speed of 245 m>s?
NASA’s 20-G centrifuge (https://www.nasa.gov/ames/research/space-biosciences/20-g-centrifuge) can be used to test the limits of human tolerance to extreme accelerations. According to NASA’s site, the centrifugehas a radius of 29 ft. If the centrifuge is spun at 31 revolutions per minute, what centripetal acceleration willthe occupant experience?
Modern roller coasters have vertical loops like the one shown in the figure below. The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats. What is the speed, in m/s, of the roller coaster at the top of the loop if the radius of curvature there is 15.0 m and the downward acceleration of the car is 1.50 g?
Modern roller coasters have vertical loops like the one shown in the figure. The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats. What is the speed of the roller coaster, in meters per second, at the top of the loop if the radius of curvature there is 11 m and the downward acceleration of the car is 1.2g? Note that g here is the acceleration due to gravity. The beginning of this roller coaster is at the top of a high hill. If it started from rest at the top of this hill, how high, in meters, above the top of the loop is this initial starting point? You may assume there is no friction anywhere on the track. If it actually starts 4.5 m higher than your answer to the previous part (yet still reaches the top of the loop with the same velocity), how much energy, in joules, did it lose to friction? Its mass is 1500…
Problem 3: Modern roller coasters have vertical loops like the one shown in the figure. The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats. a) What is the speed of the roller coaster, in meters per second, at the top of the loop if the radius of curvature there is 19m and the downward acceleration of the car is 1.8g? Note that g here is the acceleration due to gravity. b) The beginning of this roller coaster is at the top of a high hill. If it started from rest at the top of this hill, how high, in meters, above the top of the loop is this initial starting point? You may assume there is no friction anywhere on the track.
A 150g ball at the end of a string is revolving uniformly in a horizontal circle of radius 0.600m. The ball makes 2.00 revolutions in a second. What is the its centripetal acceleration?
When a carpenter shuts off his circular saw, the 10.0-inchdiameter blade slows from 3984 rpm to 0 in 1.25 s. (a) What is theangular acceleration of the blade? (b) What is the distance traveled by a point on the rim of the blade during the deceleration?(c) What is the magnitude of the net displacement of a point onthe rim of the blade during the deceleration?