eduardo designs a toy with a rotary flywheel that rotates at a maximum speed of 170 revolutions per minute. suppose the flywheel is operating at its maximum speed for one minute and then the power supply to the toy is turned off. each subsequent minute thereafter, the flywheel rotates two-fifths as many times as in the preceding minute. how many complete revolutions will the flywheel make before coming to a stop?

1 answer

In the first minute, the flywheel will make 170 revolutions.

In the second minute, the flywheel will make (2/5) * 170 = 68 revolutions.

In the third minute, the flywheel will make (2/5) * 68 = 27.2 revolutions. Since the flywheel can only make complete revolutions, we round this down to 27 revolutions.

In the fourth minute, the flywheel will make (2/5) * 27 = 10.8 revolutions. Rounded down, this is 10 revolutions.

In the fifth minute, the flywheel will make (2/5) * 10 = 4 revolutions.

After the fifth minute, the flywheel will no longer be rotating, since the number of revolutions will be less than 1.

Therefore, the total number of revolutions the flywheel will make before coming to a stop is:

170 + 68 + 27 + 10 + 4 = 279.