The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats.   What is the speed, in m/s, of the roller coaster at the top of the loop if the radius of curvature there is 15.0 m and the downward acceleration of the car is 1.50 g?

Q: A father fashions a swing for his children out of a long rope that he fastens to the limb of a tall…

A: The magnitude of the centripetal acceleration of the child at the bottom of the swing is given by,…

Q: A certain fan blade has a radius of 0.25-m. A point on the rim of the blade has a centripetal…

A:

Q: A motorist travels along a vertical circle with a diameter of 10.0 m. After one successful…

A: Given data:  Diameter of vertical circle (d) = 10.0 m Speed at bottom (v) = 6.50 m/s Mass of…

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: An engineer is creating a new amusement park where the rides drop straight down and then curve onto…

A:

Q: Modern roller coasters have vertical loops like the one shown here. The radius of curvature is…

A: a) The acceleration of roller coaster is given as,

Q: mv? =ma = 1. The Cajun Cliffhanger at Great America is a ride in which occupants line the perimeter…

A: The centripetal force needed for uniform circular motion is given by Fc=mv2r where r is the radius…

Q: A rock of mass 0.6 kg tied to a string is spinning around in a circle with a radius of 1.1 m, at a…

A: Let us assume the rock is undergoing a circular motion in the vertical plane. The tension in the…

Q: A hang glider is traveling at a speed of 12 m/s when it enters a horizontal turn with a radius of 10…

A: It is given that the velocity v, radius r and mass m are given as

Q: The diagram shows an experiment to study centripetal acceleration. Take g = 10ms2 If the radius of…

A:

Q: A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal…

A: Radius , R = 3.37 m centripetal acceleration , a = 2.5 g To find = spinning speed in rpm

Q: A child sits on the edge of a spinning merry-go-round that has a radius of 2.8 m. The child's speed…

A: Given data: Radius of the marry – go -round, r=2.8 m Speed of the child, v=5 m/s

Q: A car goes around a curve of radius R at constant speed V. Then it goes around a curve of radius R/2…

A: Given : Radius of the first curve= R; speed = V; Radius of the second curve = R/2; speed of the…

Q: Modern roller coasters have vertical loops like the one shown in the figure. The radius of curvature…

A:

Q: A child sits on the edge of a spinning merry-go-round that has a radius of 1.8 m. The child's speed…

A: A body performing uniform circular motion experiences an acceleration towards the center and is…

Q: A car goes around a curve of radius R at constant speed V. Then it goes around a curve of radius 2R…

A: The initial centripetal acceleration of a car is given as, a=v2R

Q: Modern wind turbines are larger than they appear, and despite their apparently lazy motion, the…

A: Given data: The length of blades are: r = 56 m The revolutions of the blade are: N = 13 rpm The…

Q: Each of the space shuttle's main engines is fed liquid hydrogen by a high-pressure pump. Turbine…

A:

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 in a hammer-throw even swings a 7.0 kg hammer in a horizontal circle at a constant speed…

A: Centripetal acceleration changes with time however it’s magnitude can be the same

Q: A medical saw is rotating at a constant rate of 15 rev per/second. If it has a radius of 12 cm. what…

A: To find the centripetal acceleration Given :  radius = 12 cm = 0.12 m Rotating at a constant rate of…

Q: A satellite moving in a circular orbit around the Earth (as shown in figure). If the satellite needs…

A:

Q: A 120-m radius curve is banked at an angle of 30°. What is the maximum velocity of an ambulance…

A: Given: The radius of the curve is 120 m. The angle of the bank is 30o.

Q: What is the magnitude of the car's centripetal acceleration when the car is at the top of the loop?…

A: The centripetal acceleration is defined as when the body moves in the circular path and changes its…

Q: A car is traveling at constant speed of v = 11.5 m/s. Its tires have a diameter of d = 0.68 m. v =…

A: Given data:  Speed (v) = 11.5 m/s Diameter (d) = 0.68 m

Q: Mr. M is taking a turn with radius r at a speed v. If he maintains the same speed but takes the turn…

A: solution is given as

Q: A car is traveling at constant speed of v = 29 m/s. Its tires have a diameter of d = 0.53 m. v = 29…

A:

Q: A new car is tested on a 270-mm-diameter track. If the car speeds up at a steady 1.3 m/s2m/s2 , how…

A:

Q: A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal…

A: Data Given ,   Diameter of the circular path( d ) = 4.8 m So , Radius of the path ( r ) = d / 2 = (…

Q: What is the minimum radius at which an airplane flying at 300 m/s can make a U-turn if its…

A:

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

A:

Q: A rock of mass 0.5 kg tied to a string is spinning around in a circle with a radius of 0.5 m, at a…

A:

Q: A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal…

A: radius = 9.5 m Centripetal acceleration = g a = 9.8 m/s2 Using formula for centripetal acceleration…

Q: A car travels at a constant speed around a circular track whose radius is 2.92 km. The car goes once…

A: Centripetal acceleration is given by, ac = v2/R where, v is the circular speed and R is radius of…

Q: A runner taking part in the 200-m dash must run around the end of a track that has a circular arc…

A: Given: A runner taking part in the 200-m dash must run around the end of a track that has a circular…

Q: what is the average centripetal acceleration of a car traveling at 20 meters/second on a circular…

A: Data provided:  Car's velocity (V) = 20 m/s Radius of circular track (r) = 50 m Centripetal…

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 cyclist On & circular track of radius r = 240 m is traveling at 8 m/s His speed in the tangential…

A:

Q: A sprinter runs at 9.2 m/s around a circular track with centripetal acceleration 3.8 m/s2 What is…

A: We know that: The velocity is v=9.2 m/s The centripetal acceleration is ac=3.8 m/s2 Calculating…

Q: A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal…

A:

Q: A ball tied to the end of a cable is spun in a circle with a radius 0.32 m making 3 revolutions…

A:

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.