Friday

April 18, 2014

April 18, 2014

Posted by **Jon** on Wednesday, December 15, 2010 at 12:35pm.

a) What is the centripetal acceleration of a 60kg person at the circumference?

b) calculate the force of the seat on the person at the highest point.

c) calculate the force of the seat on the person at the lowest point.

d) Assume the seat is horizontal, that it does not have a back and that the seat surface is rough. If the person on the seat is midway between the highest and lowest point on the ferris wheel, calculate the minimum coefficient of static friction between the seat and the person in order that the person does not fall off the ferris wheel.

So.

a) 2.8m/s^2

b) 420N [upwards]

c) 756 N [upwards]

d) I'm not sure how to approach this question. The answer in the back of the book says 0.286, but can someone describe how to get to the solution please

- Physics -
**drwls**, Wednesday, December 15, 2010 at 1:39pmThe outer rim speed is

V = 2 pi*R/t = 3.74 m/s

a) the centripetal acceleration is

V^2/R = 2.80 m/s^2

(b) M (g-a) = 420 N

(c) M (g+a) = 756 N

d) M a*mu_s = M g

mu_s = g/a = 3.5

You'd need something like Velcro for that high a static friction coefficient

- Physics -
**Jon**, Wednesday, December 15, 2010 at 2:09pmI got 3.5 as well!

But the solutions manual says 0.286?

- Physics -
**Sabrina**, Thursday, December 13, 2012 at 12:58pmI know this is an old question, but I was just working through it myself and found the answer. So I will post it here for future people trying to solve this question.

Nu_s = ma

mg*u_s = ma

Therefore, u_s = a/g = 2.80/9.8

u_s = 0.286

:)

**Related Questions**

math - A ferris wheel has radius of 25 m and its centre is 27 m above the ground...

physics - A Ferris wheel with radius 8.8 m rotates at a constant rate, ...

Physics - In a ferris wheel, one person is at the top and another at the bttom. ...

trig question - A Ferris wheel has a deameter of 50m. The platform at the bottom...

physic - A Ferris wheel 26.0m in diameter rotates once every 15.0s . What is the...

physic - A Ferris wheel 26.0m in diameter rotates once every 15.0s What is the ...

physic - A Ferris wheel 26.0m in diameter rotates once every 15.0s What is the ...

Math (Trig) - a ferris wheel has a radius of 10m and is one meter above the ...

Physics - A Ferris wheel with radius 11.0 m rotates at a constant rate, ...

Physics - A Ferris wheel with radius 9.8 m rotates at a constant rate, ...