Q1 of 18 Page 213

For each pair of quantities given below, check whether the first is proportional to the second. For proportional quantities, calculate the constant of proportionality.

The distance travelled and the number of rotations of a circular ring moving along a line.

The distance travelled and the number of rotations of a circular ring moving along a line.


Let the distance travelled be d and the number of rotation be n.


We know,


The distance travelled in one rotation = 2πr


where r is the radius of the circle


so, distance travelled in n rotation =d = 2nπr


We can whatever value we like for n on right side of the above equation. So, n is a variable. But r is a constant, we are considering the movement of a single ring.


Whatever value we give for n, that the value will be multiplied by a constant 2πr. So, d will always be proportional to n.


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