Question

Initially, a spinner points west. Chenille moves it clockwise 2 1/4 revolutions and then counterclockwise 3 3/4 revolutions. In what direction does the spinner point after two moves?

Answer 1

Answer: East

Explanation:

Given

A spinner initially pointing towards west is made to move
`2(1)/(4)` revolutions clockwise and
`3(3)/(4)` revolutions counterclockwise.

After one complete revolution pointer points at the same direction.

So, the net movement of the spinner is

`\Rightarrow 3(3)/(4)-2(1)/(4)\\\\\Rightarrow (15)/(4)-(9)/(4)\\\\\Rightarrow (15-9)/(4)\\\\\Rightarrow (6)/(4)\ \text{or}\ 1(2)/(4)\ \text{CCW}`

That is 1 and half-revolution counter clockwise

After 1 revolution, direction is same, but after half revolution it points towards east.

The final direction is east.