Bunuel
A bicycle with two wheels of different sizes moves at 3 meters per second, at how many rotations per second does the smaller wheel rotate?
(1) The smaller wheel is 0.5 m wide in diameter.
(2) The larger wheel is twice as wide in diameter, and rotates at \(\frac{3}{\pi}\) rotations per second.
Breaking Down the Info:In order to find rotations per second, we need to divide the linear speed by the circumference. Hence if both wheels are moving a 3 meters per second, the smaller wheel has to rotate faster since it has a smaller circumference. Then we would like to know the radius of the circumference of the smaller wheel.
Statement 1 Alone:This gives us the radius, sufficient.
Statement 2 Alone:This gives us the radius/circumference of the larger wheel, then we can divide by 2 to find the radius/circumference of the smaller wheel. Sufficient.
Answer: D