A motorcycle, which has an initial linear speed of 5.0 m/s, decelerates to a speed of 3.5 m/s in 4.5 s. Each wheel has a radius of 0.60 m and is rotating in a counterclockwise (positive) directions. What is (a) the constant angular acceleration (in rad/s2) and (b) the angular displacement (in rad) of each wheel?

Explanation:

Given that,

A motorcycle, which has an initial linear speed of 5.0 m/s, decelerates to a speed of 3.5 m/s in 4.5 s. Each wheel has a radius of 0.60 m and is rotating in a counterclockwise (positive) directions.

Angular acceleration,

Put all the values,

Angular displacement,

Hence

(a) The angular acceleration is - 0.56 rad/s^2.

(b) The angular displacement is 31.6 rad.

Explanation:

initial velocity, u = 5 m/s

final velocity, v = 3.5 m/s

radius, r = 0.6 m

time, t = 4.5 s

initial angular velocity, wo = u/r = 5/0.6 = 8.33 rad/s

final angular velocity, w = v/r = 3.5 / 0.6 = 5.83 rad/s

(a) Use the first equation of motion to fine the angular acceleration.

(b) Use third equation of motion to find the angular displacement

this is an example of "committed" time.

committed time, as contracted time, takes need over essential and available time since it is seen as profitable work. it alludes to the time allotted to keep up a home and family. at the point when a man is commuting using committed time this individual may feel that the drive is an obligation to family, for example, strolling youngsters to class or driving a mate to work. contracted and committed time clients may feel that their commute could really compare to the commute of important or leisure time clients on the grounds that their commute is profitable work. in this manner, they might be more disposed to pick a mechanized method of movement.