It has been suggested that rotating cylinders about 20.0 mi long and 3.53 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?

Q: A 1.25 g pepperoni rests at a distance of 7.5 cm from the centre of a pizza being spun by the pizza…

A: mass (m) = 1.25 g = 0.00125 kg distance from center (r) = 7.5 cm = 0.075 m Angular speed (ω) = 68…

Q: A CD rotates at 5600 revolutions per min. The disk has a radius of 15 cm. What is the centripetal…

A: ω=5600 rpm×2π rad1 rev×1 min60 s=586.43 rad/s

Q: An athlete swings a 3.40-kg ball horizontally on the end of a rope. The ball moves in a circle of…

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Q: Tangential speed is measured in units of ? choose all that apply.   A. mph   B. Rotation per…

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Q: 8. A 50.0-kg child stands at the rim of a merry-go-round of radius 2.85 m, rotating with an angular…

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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: 4. A 22.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min. What…

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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: 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: An athlete swings a 6.90-kg ball horizontally on the end of a rope. The ball moves in a circle of…

A: Given: The mass of the ball is 6.9 kg. The radius of the circular path is 0.67 m. The angular speed…

Q: A new car is tested on a 280-m-diameter track. If the car speeds up at a steady 1.5 m/s^2 , how…

A: The solution is given below

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: 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: A 2000 kg car is driven clockwise around a circular path of radius 25.0 meters with a velocity of 10…

A: Given data: Mass (m) = 2000 kg Radius (r) = 25.0 m Velocity (v) = 10 m/s Required: Centripetal force…

Q: A woman places her briefcase on the backseat of her car.  As she drives to work, the car negotiates…

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Q: A cylindrical space station is 531 m in diameter. It rotates in order to create artificial gravity…

A: Diameter of the space station, (d)= 531 m The centripetal acceleration is (ac)=2.5 g Where, g=The…

Q: nd 4. A 22.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min. What…

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Q: iven that earth has a radius of 6.4X10^6 m at its equator, what is the linear velocity at earths…

A: Given that               The radius of the earth (R) = 6.4×106m Now we have to find the linear…

Q: A 1,200-kg car, that is moving in a 40-m radius circle on level ground, has a tangential velocity…

A: Given Data:-                      Mass of the car m = 1,200 kg                      Radius of the…

Q: A rock is spun in a sling at a constant speed of 56.0 m/s. What rate of rotation, in rev/s, is…

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Q: A 22.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min. (a) What…

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Q: The radius of curvature is smaller at the top than on the sides so that the downward centripetal…

A: Radius of curvature on the top point= 17 m Centripetal acceleration= 1.5 g to find the speed of…

Q: An athlete swings a 4.10-kg ball horizontally on the end of a rope. The ball moves in a circle of…

A: Answer Given  Mass of the ball m = 4.10 kg Radius r = 0.710 m  Angular speed ω = 0.520 rev/s

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

A: The centripetal force has to be in a way that balances the weight of the passenger.

Q: Roxanne is making a strawberry milkshake in her blender. A tiny, 0.0050 kg strawberry is rapidly…

A: mass of strawberry (m) = 0.0050 kg Speed of strawberry (v) = 14 m/sCentripetal force experienced by…

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: (a) What linear speed must an Earth satellite have to be in a circular orbit at an altitude of 157…

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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: a 185 gram smartphone connected ti its charging cable is playfully whirled in a horizontal circle…

A: a 185 gram smartphone connected ti its charging cable is playfully whirled in a horizontal circle…

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: What is the tangential velocity

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Q: A stone on the edge of the tire of a unicycle wheel with a radius of 0.25 m has a centripetal…

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Q: It has been suggested that rotating cylinders about 11.0 mi long and 3.63 mi in diameter be placed…

A: The length of a cylinder is, L=11 mi=11 mi×1609.34 m1 mi=17702.74 m The radius of a cylinder is,…

Q: An ordinary workshop grindstone has a radius of 9.50 cm and rotates at 7000 rev/min.   (a) Calculate…

A: Given information: Here, r is the grindstone radius, and ω is the grindstone angular speed.

Q: It has been suggested that rotating cylinders about 10.5 mi long and 6.32 mi in diameter be placed…

A: The expression for the linear acceleration in terms of angular velocity is,

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

A: Given Data: The mass of a child is, m=50.0 kg The radius of a wheel is, r=2.20 m The angular speed…

Q: The royal antelope of western Africa has an average mass of only 2.5 kg. Suppose this antelope runs…

A: Given, Mass=2.5kg Radius=35m Force=8.8N

Q: A car turns a corner of radius 60 meters at a speed of 24 m/s. If it has a mass of 800 kg, what is…

A: Given: The radius of the turn is 60 meters. The speed of the car is 24 m/s. The mass of the car is…

Q: A car drives around a curve with radius 400 m at a speed of 32 m/s. The road is banked at 7.0…

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Q: A 1200 kg car rounds a flat turn of radius 40 m at a speed 12 m/s. How much centripetal force (in N)…

A: Given that, The mass of a car, m = 1200 kg The radius of the road, r = 40 m Speed of the car, v = 12…

Q: A 50.0-kg child stands at the rim of a merry-go-round of radius 3.00 m, rotating with an angular…

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Q: It has been suggested that rotating cylinders about 13.0 mi long and 6.42 mi in diameter be placed…

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Q: bicyclist is at the bottom of a hill with a speed of 30ft/s. After traveling 600 ft on the road, she…

A: If an object moves in circular motion centripetal Acceleration acts on it.  Centripetal acceleration…

Q: judy (62kg) is riding a roller coaster and enters the bottom of a dip with a radius of curvature of…

A: The expression for the normal force acting on Judy's body is, F=mv2r

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.