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smally
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[SOLVED] Uniform circular motion problems
A pilot of mass 50kg comes out of a vertical dive in a circular arc such that his upward acceleration is 8.5g
a) What is the magnitude of the force exerted by the airplane seat on the pilot at the bottom of the arc?
b) If the speed of the plane is 345 km/h, what is the radius of the circular arc?
I've done [tex]F = ma[/tex], so 50 x 8.5 = 425, which is massively as the answer is 4659.75N
At the bottom of the ark the upward acceleration is the same as the magnitude of its centripetal acceleration (I think) therefore [tex]r = v^{2} / a[/tex], which comes to 14002.94, which is also massively wrong as the answer provided is 110m
I tried alsorts of other ways too but they never match the answers provided, what am I missing.
Homework Statement
A pilot of mass 50kg comes out of a vertical dive in a circular arc such that his upward acceleration is 8.5g
Homework Equations
a) What is the magnitude of the force exerted by the airplane seat on the pilot at the bottom of the arc?
b) If the speed of the plane is 345 km/h, what is the radius of the circular arc?
The Attempt at a Solution
I've done [tex]F = ma[/tex], so 50 x 8.5 = 425, which is massively as the answer is 4659.75N
At the bottom of the ark the upward acceleration is the same as the magnitude of its centripetal acceleration (I think) therefore [tex]r = v^{2} / a[/tex], which comes to 14002.94, which is also massively wrong as the answer provided is 110m
I tried alsorts of other ways too but they never match the answers provided, what am I missing.