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 roller-coaster at a theme park is designed so that a 70 kg rider in a car at the top of a circu…

A: Given: The speed of the car at the top of the loop, v=10 m/s. The radius of the loop r=20 m. Mass…

Q: A boy swings a ball on a string around his head in a circle.  Starting out, the radius is ro and the…

A: In this case, a ball on a string has been swinging in a circular path with some initial radius and…

Q: 3. A car travels on a circular road with radius R and banking angle ✪ chosen so that at the speed v…

A: Radius is given R.Speed is given v.Angle of inclination is given With all the given information in…

Q: An object is launched horizontally from a table of height (h) with an initial velocity I see (VOX)…

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Q: (1) Chapter 5, Problem 6 Circular motion: The Moon is an average distance of 3.8 × 108 m from Earth.…

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Q: A child sits on the edge of a spinning merry-go-round that has a radius of 2.1 m. The child's speed…

A: Given : Radius=r=2.1 m Velocity=v =4 m/s

Q: specific 3-MV wind turbine model has a blade of 184 feet (measured from the center of the hub to the…

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Q: Figure Q2(a) Profile of roller coaster: (a) The height of first hill height 20m, (b) Shape of the…

A: Given: Height of the frist hill ha is 20 m. Height of the second hill hc is 5 m. Radius of the arc R…

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

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Q: To keep a constant centripetal acceleration, how much should the radius change if the velocity is…

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Q: A boy is flying a drone in a circular path at 35 miles per hour. If the drone is experiencing a…

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Q: A certain bump in the road is notorious for letting hot-rodders do a little jump and “get some air”…

A: The expression for the required speed of the car, v=gr

Q: 1. The diagram below is an official schematic of a velodrome, where track cycling takes place. The…

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Q: A large wheel with a radius of 7 m completes a revolution every 16 seconds. The bottom of the wheel…

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Q: Uniform circular motion involves three key variables: the moving object's speed, the size of the…

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Q: During an Olympic bobsled run, the Jamaican team makes a turn of radius 7.8 m at a speed of 94.8…

A: The expression for find acceleration is a=v2r

Q: A car travels at a constant speed of 15 m/s around a turn of a radius of 30 m. What happens to the…

A: Given V=15m/s R=30m As  a=V^2/R=radial acceleration of car

Q: 6.) A new Earth size planet has been discovered in a distant star system. The planet has six times…

A: The radius and the mass of the new planet in term of the radius and mass of the earth are:

Q: Figure Q2(a) Profile of roller coaster: (a) The height of first hill height 20m, (b) Shape of the…

A:

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: d. The speed that a vehicle was traveling, s, in miles per hour, when the brakes were first applied,…

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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: In a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 15.0 m in…

A: a)The required acceleration is,

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.