Determine the linear velocity of an object with an angular velocity of 8.1 radians per second at a distance of 10 centimeters from the center. Use pi. Round the answer to the nearest tenth.
I got 47, is this correct?
since the distance s = rθ
the object travels 8.1*10 = 81 cm/s
Curious how you got 47
To determine the linear velocity of an object, you need to multiply the angular velocity by the distance from the center. In this case, the angular velocity is given as 8.1 radians per second and the distance from the center is 10 centimeters.
To calculate the linear velocity, you can use the formula:
Linear velocity = Angular velocity * Distance from center
Substituting the given values, we have:
Linear velocity = 8.1 radians/second * 10 centimeters
Now let's perform the calculation:
Linear velocity = 81 radians * centimeters / second
Since we want the answer in centimeters per second, we don't need to convert anything.
Therefore, the linear velocity is 81 centimeters per second.
Hence, the correct answer is 81 centimeters per second, not 47.