The rotating drum of a clothes-dryer has a radius of 0.31 m. If the acceleration at the rim of the drum is 30 m/s2, what is the tangential speed of the rim

Respuesta :

AMB000

Answer:

[tex]v=3.05m/s[/tex]

Explanation:

We must know that the formula for centripetal acceleration is:

[tex]a_{cp}=\frac{v^2}{r}[/tex]

where v is the tangential speed at the rim and r the radius of the drum, so we can write:

[tex]v=\sqrt{a_{cp}r}[/tex]

which for our values is:

[tex]v=\sqrt{(30m/s^2)(0.31m)}=3.05m/s[/tex]