Finding the tangential speed Help

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In summary, tangential speed is the linear speed of an object moving along a circular path, measured in units of distance per time. It can be calculated by dividing the distance traveled by the time taken, or by multiplying the radius of the path by the angular velocity of the object. It differs from linear speed, which refers to the speed of an object moving in a straight line. Tangential speed is affected by the radius of the path, angular velocity, and type of motion. It is important in physics for understanding circular motion and has practical applications in real-world scenarios.
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Finding the tangential speed... Help

i got it, it I shouldn't have doubled my time. My answer is 4.65 m/s right?
 
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It's easier than you think. You have the angle the ball rotated. How much time did it take? (Hint the ball is traveling with a constant horizontal speed and the distance is given. Find the travel time.) Use this to find the angular speed ([itex]\omega[/itex]). Then use [itex]v = \omega r[/itex].
 
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Yes, that is correct! The formula for tangential speed is v = rω, where v is the tangential speed, r is the radius, and ω is the angular velocity. Doubling your time would mean doubling the angular velocity, but keeping the radius the same. So if you had the correct radius and angular velocity, your answer of 4.65 m/s would be correct. Great job!
 

What is tangential speed?

Tangential speed is the linear speed of an object moving along a circular path. It is measured in units of distance per time, such as meters per second or kilometers per hour.

How do you calculate tangential speed?

Tangential speed can be calculated by dividing the distance traveled along the circular path by the time it takes to travel that distance. It can also be calculated by multiplying the radius of the circular path by the angular velocity of the object.

What is the difference between tangential speed and linear speed?

Tangential speed is a type of linear speed that specifically refers to the speed of an object moving along a circular path. Linear speed, on the other hand, refers to the speed of an object moving in a straight line.

What factors affect tangential speed?

Tangential speed is affected by the radius of the circular path, the angular velocity of the object, and the type of motion (uniform or non-uniform) of the object along the path.

Why is tangential speed important in physics?

Tangential speed is an important concept in physics because it helps us understand the motion of objects moving along circular paths, such as planets orbiting around the sun. It is also used in various real-world applications, such as calculating the speed of a car going around a curve or the speed of a Ferris wheel.

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