- #1

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Thanks

JL

**1.
**

**2.**

- (Total Force) = mass * acceleration
- (Centrepital Acceleration) = (Velocity squared) / (Radius)
- (Force of Gravity) = (mass)*(9.8)
- (Radius) = (Diameter)/2

**3.**

I first tried to calculate the radius adding the bottom part of the first triangle to half of the diameter.I'm fairly certain of the radius but if anyone thinks up another method or thinks that this method is incorrect please let me know.

I secondly calculated the Force of gravity on the 10 kg seat

Using the second triangle I used trig to solve for the total force

I then substituted the Total force (ie. Mass * Acceleration) and mass to solve for Acceleration.

- Using trig. Radius = (sin35.5 *1.35) + (diameter/2) =6.43394899 m
- (Force of Gravity) = 9.8 * 10 kg = 98 N
- Using trig (Total Force) = mass*acceleration = (tan 35.5 *Force of Gravity)= 69.990272065
- (Acceleration) = (Total Force)/mass = 69.990272065/10 =6.9990272065 m/s^2

I first tried to calculate the radius adding the bottom part of the first triangle to half of the diameter.I'm fairly certain of the radius but if anyone thinks up another method or thinks that this method is incorrect please let me know.

I secondly calculated the Force of gravity on the 10 kg seat

Using the second triangle I used trig to solve for the total force

I then substituted the Total force (ie. Mass * Acceleration) and mass to solve for Acceleration.