When rounding a corner on a bicycle or a motorcycle, the driverleans inward, toward the center of the circle. Why?

Q: A vehicle travels along a curve of radius 150 m banked at an angle of 15°. If the static coefficient…

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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: (I) A horizontal force of 310 N is exerted on a 2.0-kg ballas it rotates (at arm’s length) uniformly…

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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: What is the radius of the circle when the string breaks?

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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: A 250-kg motorcycle goes around an unbanked turn of radius 13.7 m at a steady 96.5 km/h. What is the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A scientist claims that people who compete in the Olympic event of skeleton are insane. With their…

A: Speed of runner in Olympic : v = 75 mph = 753600 = 0.0208 m/s Radius of Olympic track: r = 50 m Mass…

Q: A sample of blood is placed in a centrifuge of radius 17.0 cm. The mass of a red blood cell is 3.0 x…

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Q: A bucket of water can be whirled in a vertical circle without the water spilling out, even at the…

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Q: A pail of water can be whirled in a vertical circular path such that no water is spilled. Why does…

A: Given: A pail of water can be whirled in a vertical circular path such that no water is spilled.

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

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Q: An aviator, pulling out of a dive, follows the arc of a circle and is said to have pulled 3g's in…

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Q: A car travels on a horizontal road in a circle of radius 10 m. If the car can travel with a maximum…

A: Given data:  Radius (r) = 10 m Maximum speed (v) = 10 m/s Acceleration due to gravity (g) = 10 m/s2…

Q: Railway carriage has C.G(centre of gravity) 1 m above the rails which are 1 metre apart. Calculate…

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Q: A car is to make a turn with a radius of curvature of 60m at a speed of 27 m/s. At what angle should…

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Q: A car enters a level, unbanked semi-circular hairpin turn of 300 m radius at a speed of 40 m/s. The…

A: The centripetal acceleration for the semi circular motion is provided by the kinetic friction…

Q: A race car starts from rest on a circular track. The car increases its speed at a constant rate at…

A: Given:- car increase at constant rate is 4.25 times around the track θ = ?

Q: Curved portions of highways are always banked (tilted) to prevent cars from sliding off the…

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Q: The driver of the truck has an acceleration of 0.32g as the truck passes over the top B of the hump…

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Q: Determine the rated speed of a highway curve of radius p= 120 m banked through an angle 0= 18°. The…

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Q: A sample of blood is placed in a centrifuge of radius 16.0 cm. The mass of a red blood cell is 3.0 x…

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Q: Suppose you swing a ball of mass m in a vertical circle on a string of length L. As you probably…

A: We know that We have given that  the ball of mass m is a swing in a vertical circle on the string of…

Q: A 5 kg mass is attached to a massless string and is being rotated in a vertical circle. The length…

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Q: A flat (unbanked) curve on a highway has a radius of 220 m. A car rounds the curve at a speed of…

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Q: Problem 73. 74. Consider a train that rounds a curve with a radius of 570 m at a speed of 160 km/h…

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Q: velodrome is a circular race-track with inclined "banked" turns, for bicycle racing. Consider ack…

A: Given Radius of track r = 50 m Coefficient of friction μ =0.25  mass m= 15 kg  angle of banking θ =…

Q: A horizontal force of 310 N is exerted on a 2.0-kg ball as it rotates (at arm’s length) uniformly in…

A: The horizontal force exerted on the balls equal to the centripetal force. Fx=mv2r

Q: The force () needed to keep a car from skidding on a curve varies jointly as the weight of the car…

A: Given :mass of car W=1800 lb = constant radius of car  r1  =425 ft radius of car r2 =450 ft velocity…

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

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Q: A 5 kg mass is attached to a massless string and is being rotated in a horizontal circle. The length…

A: The free-body diagram of the mass in the horizontal circle is shown below. Here, T is the tension,…

Q: - A 55.0-kg ice skater is moving at 4.00 m/s when she grabs the loose end of a rope, the opposite…

A: Given: The mass of the ice skater is 55.0 kg. The velocity of the skater is 4.00 m/s. The radius of…

Q: When you wirl a can at the end of a string in a circular path, what is the direction of the force…

A: For circular motion, there a force acts towards the center of the path, that is the centripetal…

Q: A pilot flies an airplane at a constant speed of 660 km/h in the vertical circle of radius 1210 m.…

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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: A block is hung by a string from the inside roof of a van. When the van goes straight ahead at a…

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Q: A jet flying at 130 m/s banks to make a horizontal circular turn. The radius of the turn is 3810 m,…

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Q: A child of mass 25 kg rides on a Ferris wheel. The child moves in a vertical circle of radius. 10.0…

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Q: An athlete in a hammer-throw event swings a 7.0 kg hammer in a horizontal circle at a constant speed…

A: Ms as if hammer = 7.0 kg speed of hammer = 12 m/s ( constant ) The radius of the hammers path = 2.0…

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: if the coefficient of friction between vehicles and the road is 0.4 and the radius of curvature of a…

A: Given data *The coefficient of friction between vehicles and the road is μ=0.4 *The radius of…

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

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.