Consider a train that rounds a curve with a radius of570 m at a speed of 160km/h (approximately 100mi/h ).(a) Calculate the friction force needed on a train passenger of mass 55 kg if the track is not banked and the train does not tilt. (b) Calculate the friction force on the passenger if the train tilts at an angle of 8.0° toward thecenter of the curve

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 bank curve on a highway is designed for traffic to move at 60km/hr. The radius of thecurve is…

A: Given:              vmax= 60 km/hr                 R= 200m                  v= 40 km/hr  For…

Q: A 1290 kg sports car rounds a flat curve of radius 56.0 m. Given that the coefficient of static…

A: The expression for find maximum speed of the car is Ff=Fcμmg=mv2rv=μgr

Q: How large must the coefficient of static friction be between the tires and the road , if a car is to…

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Q: If a curve with radius of 60m is properly banked for a car travelling 60km/hr, what must be the…

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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: A motorcycle driver drives around a circular vertical wall 30.5m in diameter. The coefficient of…

A: Given, Diameter of circular vertical wall, d = 30.5 m coefficient of friction between the tires and…

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: What is the maximum speed at which a motor can round curve of 50 m radius on a leveled road if the…

A: The radius of the curve is, r=50 m   The coefficient of the friction is, μ=0.5   The acceleration…

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: A car is on a banked curve of radius 400-meters and a bank angle of 15°. If the car is about to lose…

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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: Assuming an unbanked curve, find the minimum static coefficient of friction, between the tires and…

A: Motion of a vehicle on an unbanked rough road: Consider a car of mass m moving on a rough horizontal…

Q: A Civil Engineer wishes to redesign a curved roadway in such a way that the car will not have to…

A: Given:velocity, v = 30 mi/hr = 13.41 m/sradius, r = 35 m

Q: I need help with this Hw Problem?

A:

Q: A curve that has a radius of 95 m95 m is banked at an angle of ?=10.8∘. If a 1050 kg car navigates…

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Q: Suppose you wish to whirl a pail full of water in a vertical circle at a constant speed without…

A: Given that :r=0.65m+0.17cmg=9.81 m/s2

Q: A 1050-kg car rounds a curve of radius 72 m banked at anangle of 14°. If the car is traveling at 85…

A: Given data The mass of the car is m = 1050 kg. The radius of the curve is r = 72 m. The angle of…

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: A bobsled travels along a frictionless track. It crosses the starting line with a speed of v0=3.1…

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Q: A stone of massm is attached to a string and is rotated in .a vertical circle of radius r at bottom…

A: Given Data : The radius of rotation of the stone is given as r

Q: A 1335 kg sports car rounds a flat curve of radius 40 m. Given that the coefficient of static…

A: Given, Mass, m=1335 kg, radius, r= 40 m, and coefficient of static friction,μ=0.5.

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 car having a gross weight of 50 kN is moving at a certain design speed along a highway curve.…

A: Centrifugal ratio : The Centrifugal ratio is defined as the ratio of centrifugal force experienced…

Q: A tram of mass of 106 kg, runs at a speed of 60 kmph along an unbanked circular track having a…

A: Given, m = 106 kg v = 60 km/h = 16.66 m/s r = 20 m

Q: A book sitting on a table, a puck sliding across frictionless ice, a child sitting on a…

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Q: The vehicle is designed to combine the feel of a motorcycle with the comfort and safety of an…

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Q: A curve on a racetrack of radius 70 m is banked at a 15° angle. At what speed can a car take this…

A: The speed of the car can be given by v=rgtanθ

Q: Why are turns on a racetrack banked? Imagine a turn in the road has a radius of curvature of…

A: Why are turns on a racetrack banked?   banked turns are needed to maintain greater speeds onto and…

Q: A locomotion of mass 105 kg rounds a curve of radius in the path y-3t², when t=3sec of velocity…

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Q: A car of mass m travels around a flat, circular curve of radiusr at the fastest possible speed, v =…

A: When car moves on flat circular track required centripetal force is provided by friction.

Q: How large must the coefficient of static friction be between the tires and the road if a car is to…

A:

Q: A curve that has a radius of 95 m is banked at an angle of ?=10.8∘. If a 1050 kg car navigates the…

A: The expression for the required value of minimum static coefficient of friction is,

Q: On a frictionless inclined, uniform, circular track the only force keeping a car moving around the…

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Q: Calculate the friction (in N) acting on a car's wheel while taking a flat curved road of radius 500…

A: Friction force provided necessary centripetal force in a circular road     FS =  m v2  /  R   FS =…

Q: A car of mass 1580 kg travels at 80km/hr on straight section of road, where u, the coefficient of…

A: Given, mass of the car, m = 1580 kg speed of the car, v = 80 km/hr radius of the bend, r = 50 m…

Q: A sport car of mass m =2, 000 lb moving with velocity v = 160 mph must make a U-turn on a pavement…

A: mass of car (m) = 2000 lb velocity (v) = 160 mph = 160/2.237 m/s = 71.5 m/s coefficient of static…

Q: Find the critical speed that will allow the car to make the turn safely assuming the radius of the…

A: Given  Radius of turn r=3m Coefficient of friction μ=0.5 acceleration due to gravity g=9.8m/s2

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 motor vehicle of mass 2000 kg travels round a curved path of radius 55 m. the coefficient of…

A: Given:- M= 2000 kg  R= 55 m μ= 0.75 g= 10 m/s2  (acceleration due to gravity) d= 1.5 m  (width of…

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.