Why are turns on a racetrack banked? Imagine a turn in the road has a radius of curvature of 70-meters and is banked at an angle of 15◦. At what speed can a car turn without the assistance of friction?

Q: A curve that has a radius of 90 m90 m is banked at an angle of ?=11.0∘. If a 1050 kg car navigates…

A: Angle of Banking, θ=11.00Mass of the car, m=1050 kgRadius of the curve, r=90mCar speed, v=70…

Q: What is the ideal banking angle for a gentle turn of 1.20 km radius on a highway with a 105 km/h…

A: Given data,               Radius, R=1.20 km=1.2 ×103 m or 1200 m               Speed, v =105km/h…

Q: A curve that has a radius of 90 m is banked at an angle of 0 = 10.4°. If a 1000 kg car navigates the…

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Q: What is the maximum speed (in m/s) at which a car can round a corner with radius 25.0 m, if the…

A: The frictional force is given by Ff = μkN, where μk = the coefficient of static friction N = the…

Q: Determine the minimum angle at which a roadbed should be banked so that a car traveling at 20.0 m/s…

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Q: A 600-kg car is going around a curve with a radius of 120 m that is banked at an angle of 20° with a…

A: The free body diagram can be shown as below, Here N is the normal force, f is the friction, FC is…

Q: A 14000N car traveling at 25 m/s rounds a curve of radius 200 m. Find the following 1. The…

A: The expression for the centripetal acceleration, ac=v2r   Substitute, ac=25 m/s2200 m=3.125 m…

Q: A stuntman drives a car (without negative lift) over the top of a hill, the cross section of which…

A: Free body diagram of the car at the top of the hill

Q: A 0.208 kg toy can be whirled in a horizontal circle of 1.0 meter radius at a maximum o 3.0 rev/s…

A: Given: The mass of the object is 0.208 kg. The radius of the circular path is 1 m. The angular speed…

Q: At what angle must a freeway be banked at a curve to eliminate sideway forces parallel to the road,…

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Q: A car travels at a steady 30.3 m/s around a horizontal curve of radius 111 m. What is the minimum…

A: Given: The speed of the car is 30.3 m/s. The radius of curvature is 111 m.

Q: A 0.4 kg bob mass tied to a string moves in a vertical circular path of radius 1.5 m as shown. The…

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Q: A 1500 Kg car rounds a curve of radius 69 m banked at an angle of 14 degrees. what is the magnitude…

A: Please see the answer in Step 2

Q: If a roadway is banked at the proper angle, a car can round a corner without any assistance from…

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Q: A 4,000 pound car travels at 30 miles per hour on a circular path of radius 100. feet. In order to…

A: Given Mass of the car is m=4000 pound=4000×0.4536 kg=1814.4 kg Speed of the car is v=30 mil1…

Q: A curve of radius 110 m is banked at an angle of 17.4 °. At what speed can it be negotiated under…

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Q: What is the ideal speed to take a 95 m radius curve banked at a 10.0° angle?

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Q: What is the ideal speed to take a 100 m radius curve banked at a 20.0° angle?

A: radius, r = 100 m  Angle, A = 20° The formula used is  tan A = v2r g where, v is the speed and r is…

Q: What is the ideal speed to take a 90 m radius curve banked at a 20.0° angle?

A: Banking of roads is done in order for the cars to make safer turns due to the centripetal force…

Q: A car is speeding with a velocity of 80 km/hr around a curve that is banked at an angle of 35◦ .…

A: It is given that, v=80 km/hr=22.22 m/sθ=35oμs=0.25μk=0.15

Q: A curve of radius 117 m is banked at an angle of 12.3 °. At what speed can it be negotiated under…

A: Given quantities: Radius (r) = 117 m angle (θ) = 12.3 degree acceleration due to gravity (g) = 10…

Q: A ball on a string is spun in a circle over someone's head.  If the ball has a mass of 0.75 kg,…

A: (given)             Mass (m) of the ball = 0.75 kg Spinning speed (v) of a ball = 3 m/s…

Q: consider a car "drifting" along a turn, why is it considered an efficient way to maneuver a long a…

A: Solution:

Q: a curve in a highway as a radius of 120m and is banked at 3degrees .on a day when the road is icy…

A: θ=3.00 r = 120m g = 9.8 m/s2

Q: It was a dark and stormy night in Winona, Minnesota. A driver advances along an icy road - assume…

A: This is case of Banked turn when there is no friction ,speed with which person take the turn to…

Q: A 500 g box undergoes a uniform circular motion at a speed of along a 30° inclined banked curve. The…

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Q: What is the ideal banking angle (in degrees) for a gentle turn of 1.75 km radius on a highway with a…

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Q: One 1050 kg car rounds curve of radius 75 m banked at an angle of 15 degrees, if the car is…

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Q: Is it possible for a car to move around a curve without accelerating?

A: For any object to move around the curved path its velocity direction must change continuously over…

Q: A car moving at 38 km/h negotiates a 150 mm -radius banked turn designed for 60 km/h. What…

A: Given that A car moving at 38 km/h negotiates a 150 mm -radius banked turn designed for 60 km/h.…

Q: A car is moving along a curved road with a radius of 10m. If the curve is banked at 9 degrees, what…

A: r = 10 m θ = 90 v = ?

Q: If you are experiencing a force of 500N against your seatbelt as you turn a corner(radius of the…

A: Given that The force against your seat belt F = 500 N The radius of the curve r = 30 m Mass is your…

Q: A curve of radius 82 m is banked for a design speed of 78.8 km/h. If the coefficient of static…

A: Given that the radius of the curved banked road is 82m, and coefficient of static friction is 0.28.

Q: ) Sammy is driving a 1575 kg car at 121km/h in a horizontal plane around a banked curve with a…

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Q: What is the maximum speed at which the car can round a curve of 30-m radius on a level road is the…

A: Given Data: r = 30 m μ = 0.8 v = ? Solution: The force equations for the given scenario are N = mg…

Q: A car goes around a flat curve of radius 50 m at a speed .of 14 m/s What must be the minimum…

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Q: What is the ideal speed to take a 100 m radius curve banked at a 10.0° angle?

A: Given: Angle = 10oRadius, R = 100 mFind: The ideal speed.

Q: A circular road of mean radius 30.0 m is banked for 11.17 m/s. If a car is going on this road at…

A: A circular road of mean radius 30.0 m is banked for 11.17 m/s. If a car is going on this road at…

Q: A curve in a highway has a radius of curvature of 120 m and is banked at 3. On a day when the road…

A: The radius of curvature of the highway is R = 120m. The highway is banked at θ=3°. Assume the safest…

Q: Railroad tracks follow a circular curve of radius 500.0 m and are banked at an angle of 5.0° . For…

A: Given The radius of circular curve is r=500 m. The banked angle is θ=5°. The formula for the…

Q: In addition to the remarkable top speed, cheetahs have impressive cornering abilities. In one study,…

A: Given  Mass of cheetah m=50kg Force acting on sideways ,F=960N  Speed of cheetah v=20m/s

Q: A frictionless curve of radius 100 m, banked at an angle of 45°, a car may be safely negotiated at a…

A: Radius of the curve r=100 m Angle of bank θ=450 Acceleration due to gravity g=9.8 m/s2 The maximum…

Q: A vehicle weighing 500 kilograms travels on a round banked highway that is inclined at angle of…

A: Mass of vehicle = 500 kg  Angle (theta) = 20°  Radius (r) = 100 m

Q: A commercial airliner weighing 4x105 N (90,000 lbs) makes a 10º banked turn in a horizontal circle…

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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.