Solving a Circular Motion Problem: Is Something Wrong?

[RoyalewithCh33s3]

Hello again, tonite I am working on more homework and I am stuck on a problem involving circular motion. Here's the question:

Q: A 24 kg child takes a ride on a fast Ferris wheel that rotates 4.5 times each minute and has a diameter of 19 m. (a) What is the centripetal acceleration of the child?

Ok so I would start out by turning 4.5 rev/min into rad/sec:

4.5 rev/min x $$\frac {1 min}{60 sec}$$ x $$\frac{2 \pi rad}{1 rev}$$ = $$.3\pi \frac{rad}{sec}$$

Then R = 9.5m

$$a_c$$=$$\omega^2$$R

$$a_c$$=$$9.5(.3\pi)^2$$

$$a_c$$ ended up being 8.44 m/s for me.

Is there something I'm doing wrong?

 

[skeeter]

4.5 rev/min = 3pi/20 rad/sec

 

[kyle8921]

As a scientist, it is important to carefully analyze and double-check our calculations to ensure accuracy. In this case, your calculations seem to be correct, but it would be helpful to specify the units for the final answer as meters per second squared (m/s^2). Additionally, it may be beneficial to include the formula you used for calculating centripetal acceleration (a_c=\omega^2R) to show your understanding of the concept. It is also good practice to label all units in your calculations to avoid confusion and ensure consistency. Overall, your approach to solving the problem appears to be correct, but it is always a good idea to review and check your work to catch any potential errors. Good job on tackling this circular motion problem!