Question: A 0.40-kg mass, attached to the end of a 0.75-m string, is whirled around in a circular horizontal path. If the maximum tension that the string can withstand is 450 N, then what maximum speed can the mass have if the string is not to break?

Answer: 29 m/s

Question: A point on the rim of a 0.25-m-radius rotating wheel has a centripetal acceleration of 4.0 m/s². What is the angular speed of the wheel?

Answer: 4.0 rad/s

Question: The distance from the center of a Ferris wheel to a passenger seat is 12 m. What centripetal acceleration does a passenger experience when the wheel’s angular speed is 0.50 rad/s?

Answer: 3.0 m/s²

Question: A 1 500-kg car rounds an unbanked curve with a radius of 52 m at a speed of 12 m/s. What minimum coefficient of friction must exist between the road and tires to prevent the car from slipping?

Answer: 0.28

Question: A car drives around a curve with radius 400 m at a speed of 32 m/s. The road is not banked. The mass of the car is 1500 kg. What is the frictional force on the car?

Answer: 3800 N

Question: A car drives around a curve with radius 400 m at a speed of 32 m/s. The road is banked at 7.0 degrees. The mass of the car is 1500 kg. What is the magnitude of the centripetal force in order to make this turn?

Answer: 3800 N

Question: At what speed will a car round a 52-m-radius curve, banked at a 45° angle, if no friction is required between the road and tires to prevent the car from slipping?

Answer: 23 m/s

Question: A 2000 kg car is traveling on a banked curved icy road. The velocity of the car is 25 m/s and the road has a radius of curvature of 500 m. If the car is to travel on the icy road without sliding, what is the angle of the banked road?

Answer: 7.27°

Question: What centripetal force does an 80-kg passenger experience when seated 12 m from the center of a Ferris wheel whose angular speed is 0.50 rad/s?

Answer: 240 N

Question: A 0.400-kg object is swung in a circular path and in a vertical plane on a 0.500-m-length string. If the angular speed at the bottom is 8.00 rad/s, what is the tension in the string when the object is at the bottom of the circle?

Answer: 16.7 N

Question: A 0.30-kg rock is swung in a circular path and in a vertical plane on a 0.25-m-length string. At the top of the path, the angular speed is 12.0 rad/s. What is the tension in the string at that point?

Answer: 7.9 N

Question: A roller coaster, loaded with passengers, has a mass of 2 000 kg; the radius of curvature of the track at the bottom point of the dip is 24 m. If the vehicle has a speed of 18 m/s at this point, what force is exerted on the vehicle by the track?

Answer: 4.7 x 10⁴ N

Question: What angular speed (in revolutions/second) is needed for a centrifuge to produce an acceleration of 1 000 g at a radius arm of 15.0 cm?

Answer: 40.7 rev/s