A student whirls a 0.75kg mass around on the end of a string in a horizontal circle. The radius of the circle is 81cm and the speed of the mass is 7.1ms-1

a)Calculate the centripetal force acting on the massb)On the diagram, sketch the forces acting on the massc)Sketch a vector triangle showing how the centripetal force is the vector sum of the forces acting on the mass

Do now: Wednesday, April 19, 2023

Our Kaupapa:

LO5: Analyse the forces involved in circular motion - conical pendulum - banked curves - vertical circular motion

Homework Reminder:

NZQA Circular Motion Questions 1-4

Due: Wed 26th Feb

Board Notes

A conical pendulum is made from a mass of 0.20kg which moves in a circle of radius 0.40m at a constant speed.

The string makes an angle of 30o with the vertical.

Calculate the speed of the mass.

(Assume g = 9.8ms-2)

Example: Conical pendulum

A cyclist (and cycle) of mass 80kg move around a bend of radius 20m. The tyres can handle a maximum friction force of 250N.

Calculate the maximum speed the cyclist can travel around the bend if: (assume g = 9.8ms-2)

a) the bend is unbanked b) the bend is banked at 25o

Example: Banked curves