Jack's bicycle tires have a diameter of 24 inches. if he rides at 15 miles per hour, what is the angular velocity of the
wheels in revolutions per minute (rpm)?

w=105rpm

Step-by-step explanation:

The link between The lineal movement and and angular movement is V=w*r

w has units in rad/s, r is the radio of the rotating/moving element .

15 miles per hour= 15*63360 in/h= 950400 in/h= 15840 in/min

with the above relation we can use the link we were talking in the first paragraph.

15840 in/min=w*24in.

w=660 rad/min

w= 660 /(2 pi) rpm= 105rpm

7.25

step-by-step explanation:

we know that 7 equals to 7.0. we also know that 1/4=0.25. so we can add the two together and we get 7.25