Question

In a belt friction experiment, the amount of force T required to keep a pulley in pending counter clockwise motion against the effect of a hanging weight W is given by the equation T=Weμθ. In this equation θ is the angle of contact between the belt and the pulley measured in radians and ? is the coefficient of friction.

The data in the following table have been collected from an experiment.

θ	60°	90°	120°
T (N)	82	106	126

1. Write the linear form of the above equation you would use for non-linear regression. [2 marks]

2. Identify the new variables which would give you a linear equation. [2 marks]

3. Find the values of ? and W and write the equation of the form T as a function of θ

[6 marks]

In a belt friction experiment, the amount of force T required to keep a pulley in pending counter clockwise motion against the effect of a hanging weight W is given by the equation T=Weμθ. In this equation θ is the angle of contact between the belt and the pulley measured in radians and ? is the coefficient of friction.

The data in the following table have been collected from an experiment.

θ	60°	90°	120°
T (N)	82	106	126

1. Write the linear form of the above equation you would use for non-linear regression. [2 marks]

2. Identify the new variables which would give you a linear equation. [2 marks]

3. Find the values of ? and W and write the equation of the form T as a function of θ

[6 marks]

Answer 1