In his factory Max needs an alarm that rings every hour. He pulls apart an old bicycle and builds a machine using the bicycle chain and one of the sprocket wheels. He breaks the chain, hangs it over the wheel and attaches a bell to each end. Max attaches a motor that turns the wheel clockwise for exactly one hour, both at the same constant rate.
He positions the centre of the wheel on the wall so that at 12 noon the bell on the left hits the floor and rings. The wheel turns clockwise for exactly one hour so that at 1pm the right bell hits the floor and rings. then the wheel turns anticlockwise so that at exactly 2pm the left bell hits the floor and rings. This process continues every hour.
a) at 2:10 pm the difference in height between the two bells is 80cm. How far off the floor is the bell at 3pm?
b) As the years go by, the sprockets on the wheel wear out so that the chain starts to slip. Max replaces the worn wheel with a 14cm diameter sprocket wheel from the old bicycle. The motor still turns the wheel clockwise and anticlockwise at the same constant rate as before. To make sure the bells still ring every hour he changes the height of the centre of the wheel on the wall. By how much to the nearest millimetre, does Max raise or lower the centre of the new wheel?
thanks so much please help because im stuck really bad..
He positions the centre of the wheel on the wall so that at 12 noon the bell on the left hits the floor and rings. The wheel turns clockwise for exactly one hour so that at 1pm the right bell hits the floor and rings. then the wheel turns anticlockwise so that at exactly 2pm the left bell hits the floor and rings. This process continues every hour.
a) at 2:10 pm the difference in height between the two bells is 80cm. How far off the floor is the bell at 3pm?
b) As the years go by, the sprockets on the wheel wear out so that the chain starts to slip. Max replaces the worn wheel with a 14cm diameter sprocket wheel from the old bicycle. The motor still turns the wheel clockwise and anticlockwise at the same constant rate as before. To make sure the bells still ring every hour he changes the height of the centre of the wheel on the wall. By how much to the nearest millimetre, does Max raise or lower the centre of the new wheel?
thanks so much please help because im stuck really bad..