40-50 Gravitron In Another Type Of Amusement Ride, Passengers Stand Inside A Cylinder With Their Backs Against The Wall. The Cylinder Has A Diameter Of D. The Cylinder Begins To Rotate Around A Vertical Axis. Once The Cylinder Reaches Its Operational Rotational Speed, The Linear Speed Of A Passenger Is V And The Floor On Which The Passengers Are Standing

 

2. KJF2nd 6-50 Gravitron In another type of amusement ride, passengers stand inside a cylinder with their backs against the wall. The cylinder has a diameter of D. The cylinder begins to rotate around a vertical axis. Once the cylinder reaches its operational rotational speed, the linear speed of a passenger is v and the floor on which the passengers are standing drops away. If all goes well, the passengers will "stick" to the wall and not slide down. Let m be the mass of a passenger. a) Determine an expression for the minimum coefficient of static friction required to keep a passenger from sliding down the cylinder's wall when the floor drops away. Write the answer in terms of quantities given in the problem (D, m and/or v) and, perhaps, constants (e.g., g, n, ...). b) Calculate a numerical value for the minimum coefficient of static friction required to keep the passengers from sliding down the cylinder's wall when the floor drops away if D= 15.0 m, v = 18.8 m/s and m = 70.0 kg. (0.207}