What is the tangential acceleration of a point on a rotating crankshaft?

In summary, using the equations for linear and rotational motion, you can determine the tangential acceleration of a point on the surface of a crankshaft and the number of revolutions it makes as it comes to a stop.
  • #1
goober19
1
0

Homework Statement


A 3.0-cm diameter crankshaft that is initially rotating at 2500 rpm comes to a halt in 1.5 s. What is the tangential acceleration of a point on the surface of the crankshaft? How many revolutions does the crankshaft make as it comes to a stop?


Homework Equations



at = Dv/Dt


The Attempt at a Solution



honestly I am really stuck on this because the only formula that I can find is this one. Any ideas on where to head with it?
 
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  • #2
For linear motion we have,

v = v_o + a*t

For rotational motion we have,

thetadot = thetadot_o + thetadoubledot*t

thetadot = d theta/dt thetadoubledot = d^2 theta/dt^2

You know thetadot at t = o and you know thetadot at t = 1.5 seconds, solve for thetadoubledot
 

FAQ: What is the tangential acceleration of a point on a rotating crankshaft?

What is Tangentail Acceleration?

Tangentail Acceleration is the rate of change of an object's tangential velocity over time. It is a measure of how quickly an object's direction of motion is changing.

How is Tangentail Acceleration calculated?

Tangentail Acceleration can be calculated using the formula a = v^2/r, where a is the tangential acceleration, v is the tangential velocity, and r is the radius of the object's circular motion.

What is the difference between Tangentail Acceleration and Centripetal Acceleration?

The main difference between Tangentail Acceleration and Centripetal Acceleration is the direction of the acceleration. Tangentail Acceleration is in the same direction as the object's tangential velocity, while Centripetal Acceleration is in the direction of the object's centripetal force.

What are some real-life examples of Tangentail Acceleration?

One example of Tangentail Acceleration is a car driving around a curved road. As the car turns, its direction of motion is changing, resulting in a tangential acceleration. Another example is a satellite orbiting the Earth, where the tangential acceleration keeps the satellite in its orbital path.

How is Tangentail Acceleration important in physics?

Tangentail Acceleration is an important concept in physics as it helps us understand and analyze the motion of objects in circular paths. It is also crucial in the study of rotational motion and is used in many real-world applications, such as the design of roller coasters and satellites.

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