A carousel with a 60-foot diameter makes 3 revolutions per minute. (A) find the angular speed of the carousel in radians per minute. (B) find the linear speed (in feet per minute) of the platform rim of the carousel. What's are the answers?

Respuesta :

Answer:

[tex]V=376.9911184feet per minute[/tex]

Step-by-step explanation:

From the question we are told that

60-foot diameter

3 revolutions per minute

a)Generally angular speed can mathematically be given is given as

[tex]W=2\pi f[/tex]

[tex]W=2*\pi*3[/tex]

[tex]W=6*\pi[/tex]

[tex]W=18.84955592[/tex]

b)Generally linear speed is mathematically given as

[tex]V=\omega r[/tex]

[tex]V=6\pi *30[/tex]

[tex]V=120*\pi[/tex]

[tex]V=376.9911184feet per minute[/tex]