It has been suggested that rotating cylinders about 19.5 mi long and 4.67 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth? ______________rad/s

Q: Chris tied a 902g rock to a rope and swung it above his head, making 35 complete revolutions in two…

A: Mass of rock (m) = 902 g = 0.902 kg Number of revolutions in 2 minutes = 35Number of revolutions in…

Q: An athlete swings a 6.00-kg ball horizontally on the end of a rope. The ball moves in a circle of…

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Q: A truck with 38 inch diameter wheels is traveling at 55 mph How many revolutions do the wheels make…

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Q: A giant Ferris wheel in Seattle, Washington has a diameter of 135 m and takes 30 minutes to make one…

A: The radius of the Ferris wheel is, r=135 m2=67.5 m The distance traveled by a rider in one…

Q: It has been suggested that rotating cylinders about 11.0 mi long and 5.92 mi in diameter be placed…

A: Given: Length of cylinder, L=11 mi = 17702.784 m Diameter of cylinder, d=5.92 mi = 9527.316 m     To…

Q: NASA's Ames Research Center in Mountain View, California, houses a 20g centrifuge used to conduct…

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Q: It has been suggested that rotating cylinders about 17.5 mi long and 6.12 mi in diameter be placed…

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Q: An athlete swings a 5.30-kg ball horizontally on the end of a rope. The ball moves in a circle of…

A: Mass of ball (m) = 5.30 kg radius of circle (r) = 0.950 m angular speed (ω) = 0.410 rev/sec

Q: A truck with 28-in.-diameter wheels is traveling at 45 miles per hour. How many revolutions per…

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Q: It has been suggested that rotating cylinders about 12.5 mi long and 3.58 mi in diameter be placed…

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Q: It has been suggested that rotating cylinders about 16.5 mi long and 4.65 mi in diameter be placed…

A: Given data The length of the cylinder is l = 16.5 mi. The diameter of the cylinder is d = 4.65 mi =…

Q: Explain why centripetal acceleration changes the direction of velocity in circular motion but not…

A: Work done is the dot product of force and displacement.The amount of work done upon an object can be…

Q: Suppose a piece of dust finds itself on a CD. If the spin rate of the CD is 360 rpm, and the piece…

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Q: A car of mass m=1500kg is moving down a level road. It comes to a hill whose cross section is semi…

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Q: To choose z-component of the velocity that is defined using Visual Python as v-vector(x.y.z), it is…

A: Here the vector is defined to be the variabel v.

Q: It has been suggested that rotating cylinders about 20.0 mi long and 3.53 mi in diameter be placed…

A: It is given that, l=20 mi=32186.9 md=3.53 mir=d2=3.532=1.765 mi=2840.4922 m

Q: An automobile engine slows down from 3400 rpm to 1200 rpm in 2.3 s. Part A Calculate its angular…

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Q: It has been suggested that rotating cylinders about 17.0 mi long and 4.55 mi in diameter be placed…

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Q: A wind turbine is rotating counterclockwise at 0.78 rev/s and slows to a stop in 17 s. Its blades…

A: As per our guidelines, we are supposed to answer only first three subparts in case of multiple…

Q: A three-blade wind turbine, which spins perpendicularly to the ground, is set on a pole that is 38 m…

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Q: Can you assist me in solving this problem? Thank you! The cable lifting an elevator is wrapped…

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Q: A point moves on a path of 3m in diameter so that the distance traversed is s= 3t^2. What is the…

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Q: If a centrifuge has an angular acceleration of 35.2 rad/s2 and a radius of 27 meters, what is its…

A: Given, Angular acceleration of centrifuge  α= 35.2 rad/s2  Radius (R) = 27m

Q: It has been suggested that rotating cylinders about 16.5 mi long and 3.60 mi in diameter be placed…

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Q: At its peak, a tornado is 64.0 m in diameter and carries 100 km/h winds. What is its angular…

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Q: A car of mass 1,227 kg makes a circular turn of radius 15.94 m along a level roadway. The…

A: Given: The mass of the car is 1227 kg. The radius of the roadway is 15.94 m. The ceofficient of then…

Q: A 50.0 kg child stands at the rim of a merry-go-round of radius 2.20 m, rotating with an angular…

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Q: Review I Constants centripetal acceleration. In this problem we consider a mass moving in a circle…

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Q: It has been suggested that rotating cylinders about 20.0 mi long and 5.69 mi in diameter be placed…

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Q: A child rides a scooter in a circular path with a radius of 3.0 m. The tangential speed of the…

A: radius (R) = 3 m v= 3 msmass of child and scooter(m) = 45 kg

Q: A wind turbine is rotating counterclockwise at 0.78 rev/s and slows to a stop in 17 s. Its blades…

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Q: It has been suggested that rotating cylinders about 17.5 mi long and 6.31 mi in diameter be placed…

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Q: A bicycle is riding at a tangential speed of 13.2 m/s around a circular track. The magnitude of the…

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Q: A certain planet spins on its axis 2 a day and orbits the sun 92 a year. Determine the average…

A: Given value--- time taken by planet = 2 a day. We have to find--- angular velocity ?

Q: How many revolutions per minute would a 30 m -diameter Ferris wheel need to make for the passengers…

A: d=30 mr=15 mThe passenger is weightless at the top.

Q: It has been suggested that rotating cylinders about 15.0 mi long and 5.89 mi in diameter be placed…

A: Given, l= 15mi =15*1609m = 24135 m d= 5.89mi = 5.89*1609m =9477.01 m Where, l is the length of the…

Q: Yelena is driving her car on a dry, non-slippery road. The car moves forward with a speed of 34.1…

A: Given data:  Speed (v) = 34.1 m/s Radius (r) = 0.45 m Required: Centripetal acceleration (ac)

Q: It has been suggested that rotating cylinders about 14.0 mi long and 3.91 mi in diameter be placed…

A: For free fall centripetal acceleration is gravitational acceleration. The expression for the angular…

Q: It has been suggested that rotating cylinders about 16.5 mi long and 5.56 mi in diameter be placed…

A: The expression for find angular speed of the cylinder is ω=acr=acd2

Q: A speed skater goes around a turn that has a radius of 31 m. The skater has speed of 14 m/s and…

A: The mass of the skater can be calculated in given steps:Given:

Q: When a carpenter shuts off his circular saw, the 10.0-inch-diameter blade slows from 4385 rpm to…

A: Given:Diameter of the blade = 10 inchRadius of the blade = 5 inchAngular velocity = 4385 rpmTime…

Q: It has been suggested that rotating cylinders about 18.0 mi long and 4.49 mi in diameter be placed…

A: Given data The length of the rotating cylinder is given as L = 18 miles. The diameter of the…

Q: A 50.0-kg child stands at the rim of a merry-go-round of radius 2.95 m, rotating with an angular…

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Q: It has been suggested that rotating cylinders about 13.0 mi long and 4.81 mi in diameter be placed…

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Q: Semi-trailer trucks have an odometer on one hub of a trailer wheel. The hub is weighted so that it…

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Q: It has been suggested that rotating cylinders about 18.5 mi long and 4.40 mi in diameter be placed…

A: AIM: To determine the angular speed of the cylinder such that, the centripetal acceleration is equal…

Q: It has been suggested that rotating cylinders about 18.5 mi long and 4.60 mi in diameter be placed…

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Q: ron man starts to uniformly circle around the Earth at its equator, with a radius of 6400 km.  When…

A: Given: The orbital radius of the iron man is 6400 km. The centripetal acceleration is 1g.