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A velodrome has an aggressively banked curve, where the surface makes an angle of 58.9 degrees with the horizontal. If you are biking around this curve (such that your path traces a horizontal circle with radius 21.7 m as you go around the turn), and the coefficient of static friction of your bike tires with the velodrome surface is 0.617, what is the minimum speed that you can go before starting to slip down the ramp? Give your answer in km/hr.
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- A bobsled travels along a frictionless track. It crosses the starting line with a speed of v0=3.1 m/s. At an elevation of 21m below the starting line, it takes a turn along a flat section of track (that is not uphill or downhill). This curve is banked and has a radius of curvature of r=14 m. How many times their normal weight will a rider feel when going around this curve?In a recent study of how mice negotiate turns, the mice ran around a circular 90° turn on a track with a radius of 0.15 m. The maximum speed measured for a mouse (mass = 18.5 g) running around this turn was 1.29 m/s. What is the minimum coefficient of friction between the track and the mouse’s feet that would allow a turn at this speed?A Wall of Death is a carnival show featuring a motorcyclist rides along the vertical wall of the cylinder and performs various stunts while doing so. Given that the radius of the cylinder is 7 m and the static coefficient of friction is 0.8, what is the minimum speed in m/s2 that the motorcyclist must do to prevent the motorcycle to slip from the wall?
- You are slowly getting sick as you ride the Cajun Cliffhanger, a rotor ride which spins people in a circular room and drops the floor. The ride has a radius of 2.5 meters and makes 10 revolutions in 19 seconds. (a) How big must the friction force be to stop you from sliding down the wall (b) What is the minimum possible coefficient of friction on this ride so that you don’t slide down the wall? (c) If the period of the ride were increased, would the minimum coefficient of friction to hold you up increase or decrease?A car is driving along a circular track with diameter d = 0.59km at a constant speed of v = 21.2 m/s. Write an expression and find the value for the minimum coefficient of friction between the cars tires and road required in order to keep the car going in a circle in terms of the given parameters.An amusement park ride called the Rotor debuted in 1955 in Germany. Passengers stand in the cylindrical drum of the Rotor as it rotates around its axis. Once the Rotor reaches its operating speed, the floor drops but the riders remain pinned against the wall of the cylinder. Suppose the cylinder makes 24.5 rev/min and has a radius of 3.70 m. What is the minimum coefficient of static friction ?sμs between the wall of the cylinder and the backs of the riders?
- small block with mass 0.0500 kg slides in a vertical circle of radius R = 0.800 m on the inside of a circular track. There is no friction between the track and the block. At the bottom of the block’s path, the normal force the track exerts on the block has magnitude 3.40 N. What is the magnitude of the normal force that the track exerts on the block when it is at the top of its path?As you are riding in a 1650-kg car, you approach a N7M.8 hairpin curve in the road whose radius is 50 m. The road- bed is banked inward at an angle of 10° (a) Suppose the road is very icy, so that the coefficient of static friction is essentially zero. What is the maximum speed at which you can go around the curve? (b) Now suppose the road is dry and that the static friction coefficient between the tires and the asphalt road is 0.6. What is the maximum speed at which you can safely go around the curve?A small car with mass 0.8kg travels uniformly at 12 m/s on the inside of a track that is a vertical circle (with r=5m). If the magnitude of the normal force exerted by the track on the car when it is on the top of the track is 6N, what is the magnitude of the normal force on the car when it is on the bottom of the track?
- A car moves in a horizontal circle on a test track with a radius of 125 m. The coefficient of static friction between the tires and the road is 0.52. Draw an FBD, and Calculate the maximum speed of the car.Two banked curves have the same radius. Curve A is banked at 12.3 °, and curve B is banked at an angle of 16.4 °. A car can travel around curve A without relying on friction at a speed of 16.8 m/s. At what speed can this car travel around curve B without relying on friction?A loop-the-loop is a track that lies in a vertical circle. A 272 kg roller coaster car is moving at 29 m/s when it enters the bottom of a loop- the-loop with a radius of 9.1 m. What is the magnitude of the normal force acting on the car when it is at the top of the loop-the-loop? Air resistance and friction are negligible Enter a positive value in units of N with no decimal.