Bicycle Wheel Radius Calculation

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In summary, a rigid rotation problem is a mathematical problem that involves the rotation of an object around a fixed point without any change in shape or size. These types of problems have many applications in various fields such as physics and engineering, and are typically solved using mathematical equations and principles. Rigid rotation differs from non-rigid rotation in that it does not involve any changes in shape, and the moment of inertia plays a crucial role in determining the behavior of the rotating object.
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LTZach
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Homework Statement


A bicycle wheel has an angular acceleration of 1.4 rad/s^2. If a point on its rim has a tangential acceleration of 49 cm/s^2, what is the radius of the wheel?
Answer in units of m.


Homework Equations



ac=r*a

The Attempt at a Solution



49 cm/s^2=.49m/s^2
r=ac/a=2.8571

But the answer is wrong, where did I mess up?
 
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  • #2
Just to make things clear, what is ac and what is a?

ehild
 

1. What is a rigid rotation problem?

A rigid rotation problem is a mathematical problem that involves the rotation of an object around a fixed point without any change in shape or size.

2. What are the applications of rigid rotation problems?

Rigid rotation problems have many applications in physics, engineering, and other sciences. They are used to study the movement of objects such as planets, celestial bodies, and rotating machinery.

3. How is a rigid rotation problem solved?

A rigid rotation problem is typically solved using mathematical equations and principles such as angular velocity, angular acceleration, and torque. These equations can be used to calculate the position, velocity, and acceleration of the rotating object.

4. What is the difference between rigid rotation and non-rigid rotation?

Rigid rotation refers to the movement of an object where all points in the object move in a circular path around a fixed point. Non-rigid rotation, on the other hand, involves deformation or changes in shape during rotation.

5. How does the moment of inertia affect rigid rotation?

The moment of inertia, which is a measure of an object's resistance to rotational motion, plays a crucial role in rigid rotation problems. It is used to calculate the angular momentum and is affected by the mass distribution and shape of the rotating object.

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