Please all part answer..

You made a homemade accelerometer using a protractor, a piece of string and a metal nut. To test your accelerometer, you took it to an amusement part and got on a roller coaster that executed horizontal circular turns. While riding the roller coaster and moving in a particular circular path you noticed that your accelerometer records an angle, = 77.5. See the figure above. Also, construct a free-body diagram to analyze the motion.

(a) Calculate the value of the radial acceleration of the roller coaster. Indicate the direction with the sign of your answer

__ m/s²

(b) Calculate the factor for the radial acceleration as a factor of the acceleration due to gravity.

(c) Given that the roller coaster is turning on a track of radius 100.00 m, calculate the speed with which you are moving.

__ m/s

(d) Upload your sketch of the free-body diagram for the mass on the string.(Submit a file with a maximum size of 1 MB.)