RoyalewithCh33s3
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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 [tex]\frac {1 min}{60 sec}[/tex] x [tex]\frac{2 \pi rad}{1 rev}[/tex] = [tex].3\pi \frac{rad}{sec}[/tex]
Then R = 9.5m
[tex]a_c[/tex]=[tex]\omega^2[/tex]R
[tex]a_c[/tex]=[tex]9.5(.3\pi)^2[/tex]
[tex]a_c[/tex] ended up being 8.44 m/s for me.
Is there something I'm doing wrong?
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 [tex]\frac {1 min}{60 sec}[/tex] x [tex]\frac{2 \pi rad}{1 rev}[/tex] = [tex].3\pi \frac{rad}{sec}[/tex]
Then R = 9.5m
[tex]a_c[/tex]=[tex]\omega^2[/tex]R
[tex]a_c[/tex]=[tex]9.5(.3\pi)^2[/tex]
[tex]a_c[/tex] ended up being 8.44 m/s for me.
Is there something I'm doing wrong?