For the infamous water slide Verruckt (51.38 m, world tallest in 2014) that led to the fatal accident of the 10-yr-old son of Kansas state legislator Scott Schwab in 2016, it was caused by the over-speed of the ride raft went airborne passing the second hump of the slide. If the maximum speed of the raft to avoid airborne(and the fatal accident) is 22.7 miles/hr, what is the radius of the second hump(drop) as an arch, in unit of meter?

Q: a friction experiment is performed on a planet that has the same mass as Earth but half the radius.…

A: Given, Mass=1kg Force=15N Coefficient of kinetic friction=0.3 We have to find the acceleration of…

Q: To undergo uniform circular motion, you have to have a constant radius and constant velocity. True…

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Q: A sample of blood is placed in a centrifuge of radius 17.0 cm. The mass of a red blood cell is 3.0 x…

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Q: A certain light truck can go around a flat curve having a radius of 150 m with a maximum speed of…

A: Calculate the coefficient of friction. μ = vmax2/ r * g    = 35.02/ 150 * 9.8    =   0.833

Q: An object of unknown mass is tied to a string and undergoes uniform circular mo The object travels…

A: We know that when a mass of m is tied to a string and undergoes a uniform circular motion, the…

Q: A Ferris wheel with a radius of 9.5 m rotates at a constant rate, completing one revolution every 32…

A: radius of ferris wheel (r) = 9.5 m Time period (T) = 32 Sec Angular speed (ω) = 2π/T= 2π/32= 0.196…

Q: not enough information the altitude of this point from the center of Earth? Answer in terms of…

A: Given data: Acceleration due to gravity at altitude g' = 6.5 m/s2 Required: The altitude in terms of…

Q: If the magnitude of the force is 18 N to cause a 1 kg object to move in a circle of radius 2 m. The…

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Q: Section 10.6 Motion in a Vertical Circle 10.31. A rock rests on the bottom of a bucket moving in a…

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Q: Mr. Muscedere is a professional race car driver. The race track he is about to drive on has a curve…

A:

Q: The acceleration due to gravity, g, is constant at sea level on the Earth's surface. However, the…

A: We know, gravitational field intensity  r is the distance from the center of the earth on surface…

Q: A certain planet has an average surface area that is 80% larger than the earth and a gravitational…

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Q: A certain light truck can go around a flat curve having a radius of 150 m with a maximum speed of…

A:

Q: A certain light truck can go around a flat curve having a radius of 150 m with a maximum speed of…

A: The expression for the coefficient of friction is,

Q: According to the figure shown next, an airplane performs a vertical circular loop, radius 378 m, at…

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Q: A ball is thrown from a height of 1.26 meters, with Vo=32 m/s, and at a 30 degree angle with the…

A: Given: yo=1.26 mvo=32 m/sθ=30° with vertical

Q: A "swing" ride at a carnival consists of chairs that are swung in a circle of radius 12.0 m by 13.7…

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Q: An airplane is flying in a horizontal circle at a speed of 481 km/h. If its wings are tilted at…

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Q: When an object is in uniform circular motion, the acceleration of the object toward the center axis…

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Q: A racecar is driving around a circular track. The car is moving with a speed of 49.7 m/s, and the…

A: GIVEN :- Velocity (v) = 49.7 m/s Radius (r) = 114 m Centripetal acceleration (a) =?

Q: Problem 5.32 A hypothetical planet has a radius 1.7 times that of Earth, but has the same mass. Part…

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Q: 12–118. The truck travels in a circular path having a radius of 50 m at a speed of v = 4 m/s. For a…

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Q: I need help with this Hw Problem.

A: When driver observes the movement of the tennis ball from a car he saw that the tennis ball is…

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Q: Mr. M is a professional race car driver. The race track he is about to drive on has a curve that is…

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Q: fond the magnitude of the frictional force between the tire and the track in the unit N.

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Q: An object moving at a constant speed requires 6.0 s to go once around a circle with a diameter of…

A: Here, T=2πrv6.0s=2π2.0mvv=2.09s≈2.1s

Q: As a car rounds the top of a hill at a speed of 22.31 m/s, it very briefly loses contact with the…

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Q: A certain light truck can go around a flat curve having a radius of 150 m with a maximum speed of…

A: Friction between the tires and the roadway is capable of gibing the truck a maximum centripetal…

Q: A rollercoaster goes over a hump of radius 15 m. What is the maximum speed it can have at the…

A: A rollercoaster goes over a hump of radius 15 m

Q: A race car entering the curved part of the track at the Daytona 500 drops its speed from 85.0 m/s to…

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Q: During an Olympic bobsled run, the Jamaican team makes a turn of radius 8.80 m at a speed of 97.6…

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Q: A point moves on a curvilinear path with equation (S = t³ + 5t). the total acceleration is (8.39)…

A: Given, Equation of a curvilinear path, s = t3 + 5t total acceleration of the point, a = 8.39 ms2 at…

Q: A car of mass 1,257 kg makes a circular turn of radius 17.68 m along a level roadway The coefficient…

A: Given Radius of circular path is R=17.68 m Coefficient of friction between the tires and the road is…

Q: Describe the important concepts of circular motion?

A: When an object is observed to possess motion in circular path, then the motion so described is known…

Q: An exotic planet Vogsphere is known to have a mass that is 1/81 that of the Earth and a radius 0.25…

A: The escape velocity of earth, ve=2GMr the escape velocity of the exotic planet,…

Q: During an Olympic bobsled run, the Jamaican team makes a turn of radius 7.6 m at a speed of 96.6…

A:

Q: During a NASCAR race , a car goes 50 m/s around a curve section of track that has a radius of 250 m.…

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Q: A 950kg car moving at 12m/s takes a turn around a circle with a radius of 28m. Determine the…

A: Given data:  Mass (m) = 950 kg Velocity (v) = 12 m/s Radius (r) = 28 m Required: The acceleration…

Q: A car drives over a hilltop that has a radius of curvature 0.103 km at the top of the hill. At what…

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Q: A car roundsa flat circular track with radius 215 m. The coefficient of static friction between the…

A: For a car to move in circular track the necessary centripetal force is provided by the frictional…

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.