A car is up on a hydraulic lift at a garage. The wheels are free to rotate, and the drive wheels are rotating with a constant angular velocity. Does a point on the rim of the wheel have: a. a tangential velocity? b. a tangential acceleration? c. a centripetal acceleration?

Respuesta :

Answer:

Explanation:

Given

Wheels are rotating with constant angular velocity let say [tex]\omega [/tex]

Presence of constant angular velocity show that there is no angular acceleration thus there is no tangential acceleration.

But any particle on the rim will experience a constant acceleration towards center called centripetal acceleration.

(a) yes, there will be tangential velocity which is given by

[tex]v=r\cdot \omega [/tex]

where r=radial distance from center

(b)tangential acceleration

there would be no tangential acceleration as velocity is constant

(c)centripetal acceleration

Yes, there will be centripetal acceleration given by

[tex]a_c=\omega ^2\times r[/tex]

                                   

A point on the rim will have tangential velocity and centripetal acceleration.

Angular velocity of the wheel

The angular velocity of the wheel is the rate of change of angular displacement with time.

A point on the rim will have tangential velocity which will be constant since the angular velocity is constant

v = ωr

where;

  • v is the tangential velocity
  • ω is the angular velocity
  • r is the radius

A point on the rim will not have tangential acceleration since the velocity is constant.

a = Δv/t

A point on the rim will have centripetal acceleration.

ac = ω²r

Learn more about centripetal acceleration here: https://brainly.com/question/79801