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While you are riding your bike the wheels are spinning at an angular speed i . Y

ID: 3161304 • Letter: W

Question

While you are riding your bike the wheels are spinning at an angular speed i. You put the brakes on, and in 3.2 seconds the angular speed of the wheels decreases by J radians/second.

a) By how much do the wheels decrease their angular speed in each second that you apply the brakes?

  radians/sec
b) The quantity in part (a) is commonly referred to as the magnitude of the (Select all that apply.):

rotational

displacement

rotational acceleration

angular acceleration

velocity

acceleration

angular displacement

angular velocity




c)What is the wheels' angular speed after one second of braking?

  radians/sec
d)What is the wheels' angular speed after 3.2 seconds of braking?  radians/sec
e)How many rotations does the wheel spin through during those 3.2 seconds of braking?

rotations

f) How long will it take the bike to come to a complete stop?  seconds

Explanation / Answer

here,

a)

the wheels decrease their angular speed in each second that you apply the brakes = J /3.2 ra/s^2

b)

the quantity that is measured in (a) is commonly referred to as the magnitude of the angular acceleration

c)

the wheels' angular speed after one second of braking , w = wi - J/3.2

d)

the wheels' angular speed after 3.2 seconds of braking is (wi - J) rad/s