Bissoy.com
Doctors Medicines MCQs Q&A

A circular wheel 28 inches in diameter rotates the same number of inches per second as a circular wheel 35 inches in diameter. If the smaller wheel makes x revolutions per second, how many revolutions per minutes does the larger wheel make in terms of x?

A circular wheel 28 inches in diameter rotates the same number of inches per second as a circular wheel 35 inches in diameter. If the smaller wheel makes x revolutions per second, how many revolutions per minutes does the larger wheel make in terms of x? Correct Answer 48x

For smaller wheel, Circumference = 2×π×28/2 = 28π Revolve in 1 second = x times Revolve in 60 seconds = 60x times So, distance = 28π×60x For larger wheel, Circumference = 2×π×35/2 = 35π Let, Revolve per minute = n So, distance = 35πn Now, 28π×60x = 35πn Or, n = (28π × 60x)/35π Or, n = 48x

Related Questions

A circular wheel 28 inches in diameter rotates (moves) the same number of inches per second as a circular wheel 35 inches in diameter. If the smaller wheel makes x revolutions per second, how many revolutions per minute does the larger wheel make in terms of x?
A toothed wheel of diameter 50 cm is attached to a smaller wheel of diameter 30 cm. How many revolutions will the smaller wheel make the larger one makes 15 revolutions ?
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is ?
The diameters of the bigger wheel and smallest wheel of a tractor are 50 cm and 35 cm respectively. How many revolutions will the smaller wheel make when the bigger one makes 21 revolutions?
A man is riding a bike with front and back wheel circumference of 40 inches and 70 inches respectively. If the man rides the bike on a straight road without slippage, how many inches will the man have travelled when the front wheel has made 15 revolutions more than the back wheel?
Two whole numbers are given. If three times of larger number is divided by a smaller number, then 4 as quotient and 3 as the remainder are obtained. If seven times of smaller number is divided by a larger number, then 5 as quotient and 1 as the remainder are obtained smaller number is equal to
Five bottles named P, Q, R, S, T, of different sizes are kept in a row. Bottle S is larger than two bottles as well as smaller than two bottles. Bottle R is larger than only one bottle. Bottle Q is smaller than P but larger than S. How many bottles are larger than Bottle T?
A wheel that has 6 cogs is meshed with a wheel of 14 cogs. When the smaller wheel has made 21 revolutions the number of revelution made by the larger wheel is --
The difference between two numbers is 20% of the larger number and the smaller number is 20. By what percentage, the smaller number is smaller than the larger number?