In the Vomitus carnival ride, passengers travel in a horizontal 4.0 m radius circle. For safe operation, the maximum sustained acceleration that riders may experience is 20 m/s2 , approximately twice the free fall acceleration. What is the period of the ride when it is being operated at the maximum acceleration?

Answers

Answer 1

Answer:

The period of the ride when it is being operated at the maximum acceleration is T=2.81 s.

Explanation:

We can use the centripetal acceleration here:

[tex]a_{c}=\frac{v^{2}}{R}=\omega^{2}R[/tex]

Let's find the angular velocity ω at the maximum acceleration.

[tex]20=\omega^{2}*4[/tex]

[tex]\omega=2.24 rad/s[/tex]

The period is given by:

[tex]T=\frac{2\pi}{\omega}[/tex]

[tex]T=\frac{2\pi}{2.24}[/tex]

Therefore, the period will be T=2.81 s.

I hope it helps you!


Related Questions

Please help meeeee

For a velocity versus time graph how do you know what the velocity is at a certain time? How do you know the acceleration at a certain time?

Answers

Answer:

Explained below

Explanation:

For a velocity time graph, the y - axis will represent velocity while the x - axis will represent time.

Now, to calculate velocity at a certain time t, we will draw a perpendicular line from the time on the x-axis to the graph line and trace the horizontal line from that point to the y-axis which will give the corresponding velocity at that time.

Now, for the acceleration at a time t. After getting the velocity like explained above, we now divide the velocity by the time.

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