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Linear Velocity A point is rotating at 5 revolutions per minute on a circle of radius
6 inches. What is the linear velocity of the point?
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- Two planets in circular orbits around a star have speed of v and 2v . (a) What is the ratio of the orbital radii of the planets? (b) What is the ratio of their periods?In an amusement park ride called The Roundup, passengers stand inside a 19.0 m -diameter rotating ring. After the ring has acquired sufficient speed, it tilts into a vertical plane, as shown in (Figure 1). For help with math skills, you may want to review: Mathematical Expressions Involving Squares For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Vertical circle. Figure Rotation axis I 1 of 1 Part B Suppose the ring rotates once every 5.40 s. If a rider's mass is 57.0 kg, with how much force does the ring push on her at the bottom of the ride? Express your answer with the appropriate units. μÅ Value Submit Part C Units X Incorrect; Try Again; 5 attempts remaining Value Submit Previous Answers Request Answer What is the longest rotation period of the wheel that will prevent the riders from falling off at the top? Express your answer with the appropriate units. ■μÅ ? Units Request Answer ?You are driving down the highway at 65 mph, which is 29 m/s. Your tires have a radius of 0.30 m.a. How many times per second does each tire rotate?b. What is the speed of a point at the top of a tire, relative to the ground?
- A Ferris wheel with radius 14.0 m is turning about a horizontal axis through its center in (Figure 1). The linear speed of a passenger on the rim is constant and equal to 6.60 m/s. What is the magnitude of the passenger's acceleration as she passes through the lowest point in her circular motion? What is the magnitude of the passenger's acceleration as she passes through the highest point in her circular motion? How much time does it take the Ferris wheel to make one revolution?A particle undergoes uniform motion. the speed of the particle is 10.0m/s. and the radius of its circular path 3.20m a. determine the time it takes the particle to go around its circular path once. b. determine the angular speed of the particle c. determine the centripetal acceleration of the particularThe earth has a radius of 6380 km and turns around once on its axis in 24h. a) What is the radial acceleration of an object on the ground at the earth’s equator? Give your answer in units of m/s and compare your result with the gravitational acceleration g. b) What is the radial acceleration of an object on the ground at the earth’s geographic North pole?
- A toy racecar races along a circular race track that has a radius of 19 meters. The racecar starts at the 3-o'clock position of the track and travels in the CCW direction. Suppose the car has swept out 2.25 radians since it started moving. a. The racecar is how many radius lengths to the right of the center of the race track? radius lengths Preview b. The racecar is how many meters to the right of the center of the race track? meters Preview c. The racecar is how many radias lengths above the center of the race track? radius lengths Preview d. The racecar is how many meters above the center of the race track? meterss Preview4. The Earth has a radius of 6380 km and turns around once on its axis in 24 h. a. What is the radial acceleration of an object at the Earth's equator? Give your answer in m/s² and as a fraction of g. b. If a rad at the equator is greater than g, objects will fly off the Earth's surface and into space. What would the period of the Earth's rotation have to be for this to occur?A race car moves on a circular track at a uniform speed of 30.0 m/s in a counterclockwise direction. The radius of the track is 75.0 m. What is the direction of the car’s acceleration? b. What is the magnitude of the car’s acceleration?
- The 32-inch ceiling fan spins at 60 RPM and accelerates steadily to 130 RPM in nine seconds. A. Determine the speed (ft / s with two decimal places) for the point 15 inches from the center of the fan 16 seconds after the beginning of the above movement. B. Specify the time (s with two decimal places) for the fan to rotate 125 revolutions. Draw a Free Body Diagram if necessary in part A or part B or both. Please urgent ??? thank you11. The earth has a radius of 6380 km and turns around once on its axis in 24 h. A. What is the radial acceleration of an object on the ground at the earth's equator? Give your answer in units of m/s and compare your result with the gravitational acceleration g. B. What is the radial acceleration of an object on the ground at the earth's geographic North Pole?In an amusement park ride called The Roundup, passengers stand inside a 18.0 m -diameter rotating ring. After the ring has acquired sufficient speed, it tilts into a vertical plane, as shown in ( Figure 1). For help with math skills, you may want to review: Mathematical Expressions Involving Squares For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Vertical circle. Figure Rotation axis 0 1 of 1 Part A Suppose the ring rotates once every 4.80 s. If a rider's mass is 59.0 kg, with how much force does the ring push on her at the top of the ride? Express your answer with the appropriate units. Value Submit µÅ Part B Units ? Units input for part A Previous Answers Request Answer X Incorrect; Try Again; 2 attempts remaining Review your calculations and make sure you round to 3 significant figures in the last step. Review Suppose the ring rotates once every 4.80 s. If a rider's mass is 59.0 kg, with how much force does the ring push…