A Ferris wheel is a vertical, circular amusement ride with radius 9.5 m. Riders sit on seats that swivel to remain horizontal. The Ferris wheel rotates at a constant rate, going around once in 7.6 s. Consider a rider whose mass is 57 kg.

At the bottom of the ride, what is the rate of change of the rider's momentum?

Respuesta :

Answer:

928.34 N

Explanation:

Radius=r=9.5 m

Time period of revolution=T=7.6 s

Mass of rider=m=57 kg

We have to find the rate of change of the rider's momentum at the bottom of the ride

According to Newton's second law of motion

[tex]F_{net}=ma_c[/tex]

[tex]N-mg=mr\omega^2[/tex]

[tex]N=mg+mr(\frac{2\pi}{T})^2[/tex]

Where [tex]\pi=3.14,g=9.8 m/s^2[/tex]

Using the formula

[tex]N=57\times 9.8+57\times 9.5(\frac{2\times 3.14}{7.6})^2[/tex]

[tex]N=928.34 N[/tex]

Hence, the rate of change of the rider's momentum=928.34 N