How to find magnitude of centripetal acceleration and of net force?

That's correct.Boy was I over thinking that. Thanks a lot for the clarification.In summary, the centripetal acceleration of the riders on the ferris wheel is 5.33 m/s^2. The magnitude of the net force required is 374.1 N. This is found by multiplying the mass of the rider (70 kg) by the centripetal acceleration (5.33 m/s^2).
  • #1
starplaya
8
0

Homework Statement


A ferris wheel at a carnival has a radius of 12 m and turns so that the speed of the riders is 8m/s
a) what is the magnitude of the centripetal acceleration of the riders?
b) what is the magnitude of the net force required to produce this centripetal acceleration for a rider with a mass of 70kg?


Homework Equations



Centripetal acceleration = v^2/r
F = ma
Fnet = N - W = m(centripetal acceleration)

The Attempt at a Solution



centripetal acceleration = 8^2/ 12 = 5.33 m/s^2
 
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  • #2
starplaya said:
centripetal acceleration = 8^2/ 12 = 5.33 m/s^2
Looks good.
 
  • #3
Doc Al said:
Looks good.

so, 5.33 m/s^2 would be the answer for part A and for part B i just multiply the acceleration by the mass?
 
  • #4
starplaya said:
so, 5.33 m/s^2 would be the answer for part A and for part B i just multiply the acceleration by the mass?
That's correct.
 
  • #5
Boy was I over thinking that. Thanks a lot for the clarification
 

1. What is centripetal acceleration?

Centripetal acceleration is the acceleration experienced by an object traveling in a circular path. It is always directed towards the center of the circle and its magnitude can be calculated using the formula a = v^2/r, where v is the velocity of the object and r is the radius of the circle.

2. How do you find the magnitude of centripetal acceleration?

To find the magnitude of centripetal acceleration, you can use the formula a = v^2/r, where v is the velocity of the object and r is the radius of the circle. Alternatively, you can also use the formula a = ω^2r, where ω is the angular velocity of the object in radians per second.

3. What is net force in relation to centripetal acceleration?

Net force is the overall force acting on an object, taking into account all the individual forces acting on it. In the context of centripetal acceleration, the net force is the force that causes the object to move in a circular path. It is always directed towards the center of the circle and its magnitude can be calculated using the formula F = m*a, where m is the mass of the object and a is the centripetal acceleration.

4. How do you calculate the net force for an object experiencing centripetal acceleration?

To calculate the net force for an object experiencing centripetal acceleration, you can use the formula F = m*a, where m is the mass of the object and a is the centripetal acceleration. Alternatively, you can also use the formula F = m*v^2/r, where v is the velocity of the object and r is the radius of the circle.

5. What is the relationship between centripetal acceleration and net force?

The relationship between centripetal acceleration and net force can be described using Newton's second law of motion, which states that the net force acting on an object is directly proportional to its mass and acceleration. In the case of an object experiencing centripetal acceleration, the net force is equal to the mass of the object multiplied by the centripetal acceleration (F = m*a). This means that as the magnitude of centripetal acceleration increases, the net force acting on the object also increases.

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