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

i dont know sorry

step-by-step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: