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What is the tangential speed of a point on the tip of the blade at time t = 0.193 s? Express your answer numerically in meters per second.

User Kjpires
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Final answer:

The tangential speed of a point on the tip of the blade at time t = 0.193 s is approximately 0.579 m/s, assuming it started from rest and has a constant tangential acceleration of 3.00 m/s².

Step-by-step explanation:

To calculate the tangential speed of a point on the tip of the blade at time t = 0.193 s, we need to know the angular velocity and radius, or the angular acceleration and time if the point starts from rest. Since the exact details regarding angular velocity are not provided in the question, and based on the references provided, we will assume a constant angular acceleration scenario, where the point on the tip of the blade is accelerating from rest.

Using the formula v = at (where v is the tangential speed, a is the tangential acceleration, and t is the time), and given the tangential acceleration is 3.00 m/s², we can plug in the values:

v = 3.00 m/s² * 0.193 s = 0.579 m/s

This means the tangential speed of the point on the tip of the blade at time t = 0.193 s would be approximately 0.579 meters per second, assuming it started from rest and accelerated at 3.00 m/s² to this time.

User Asik
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