Asked by jamieson
a conical pendulum is formed by attaching a 500g ball to a 1m long string then allowing the mass to move in a horizontal circle of radius 20 cm.
A) what is the tension of the string?
b) what is the balls angular speed in rpm?
A) what is the tension of the string?
b) what is the balls angular speed in rpm?
Answers
Answered by
drwls
A) Perform a vector addition of the weight and the mass x (centripetal acceleration). The two forces act in perpendicular directions, and the resultant is the tension, T.
B) T sin A = M V^2/R, from a horizontal force balance. Solve for V.
A is the angle of the string from vertical. Solve for V
Use V and R to get the rpm.
2 pi R/T = V
where T is the time required for the ball to go around once, in seconds.
RPM = 60/T
B) T sin A = M V^2/R, from a horizontal force balance. Solve for V.
A is the angle of the string from vertical. Solve for V
Use V and R to get the rpm.
2 pi R/T = V
where T is the time required for the ball to go around once, in seconds.
RPM = 60/T