A certain front-loading washing machine has a drum of diameter 23.3 inches. A small tennis ball placed inside spins in a vertical circle pressed against the inner wall of the drum. How quickly would the drum have to spin (in radians per second) in order to ensure that the tennis ball remained pinned against the wall for the entire cycle without falling off?

33.12 rad/s

Step-by-step explanation:

We are given that

Diameter=d=23.3 in

Radius,=

1 in=0.0254 m

We have to find the angular speed of drum would have to spin.

Force=

Centripetal force=

Where

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.