A gondola on an amusement park ride spins at a speed of 14 revolutions per minute. If the gondola is 24 feet from the​ ride's center, what is the linear speed of the gondola in miles per​ hour?

Respuesta :

Answer:

Linear speed, v = 23.86 miles per hour

Explanation:

It is given that,

Angular speed of gondola, [tex]\omega=14\ rev/min=1.46\ rad/sec[/tex]

The gondola is 24 feet from the​ ride's center, r = 24 feet = 7.31 m

We need to find the linear speed of the gondola. It can be calculated using the following relation as :

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

[tex]v=7.31\ m\times 1.46\ rad/s[/tex]    

v = 10.67 m/s

or

v = 23.86 miles per hour

So, the linear speed of the gondola is 23.86 miles per hour. Hence, this is the required solution.                                  

Answer:

The linear speed of the gondola is 23.99 mils/hr.

Explanation:

Given that,

Number = 14 revolution /m

Distance = 24 feet

We need to calculate the linear speed of the gondola in miles per​ hour

Using formula of speed

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

[tex]v=\dfrac{r2\pi N}{60}[/tex]

Put the value into the formula

[tex]v=\dfrac{24\times2\times\pi\times14}{60}[/tex]

[tex]v=35.18\ ft/s[/tex]

[tex]v=23.99\ mile/hr[/tex]

Hence, The linear speed of the gondola is 23.99 mils/hr.