The rotating drum in a clothes-dryer has a radius of 0.31 m. If the acceleration at the rim of the drum is 27 m/s2, what is the tangential speed of the rim?

Respuesta :

Answer:

v = 2.89 m / s

Explanation:

This is a kinematics exercise, the centripetal acceleration is

         a = v² / r

where a is the acceleration, v is the velocity and r the radius

let's clear

       v = √a r

let's calculate

       v = √ (27 0.31)

       

       v = 2.89 m / s

this is the speed of the drum which is constant

The tangential speed of the rim will be "2.89 m/s".

Tangential speed:

Tangential speed seems to be the rate beyond which the item moving throughout a circle travels.

A wider radius indicates that perhaps the thing goes a considerable distance.

According to the question,

Radius, r = 0.31 m

Acceleration, a = 27 m/s²

We know,

→ [tex]a = \frac{v^2}{r}[/tex]

or,

→ [tex]v= \sqrt{ar}[/tex]

By substituting the values,

     [tex]= \sqrt{27\times 0.31}[/tex]

     [tex]= 2.89 \ m/s[/tex]

Thus the answer above is right.

Find out more information about the tangential speed here:

https://brainly.com/question/10493657

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