Find the linear velocity of an object, 3 cm away from the center, rotating on a circular object with an angular velocity of 0.56 rad/sec. Round your answer to the nearest tenth.
V=0.56rad/s*(1/6.28)rev/rad*18.85cm/rev
= 16.81cm/s.
CORRECTION.
Change 16.81cm/s to 1.68cm/s
To find the linear velocity of an object rotating on a circular path, we can use the formula:
Linear velocity = radius × angular velocity
In this case, the radius is given as 3 cm and the angular velocity is given as 0.56 rad/sec.
Let's substitute the values into the formula:
Linear velocity = 3 cm × 0.56 rad/sec
To calculate the linear velocity, we multiply the radius (3 cm) by the angular velocity (0.56 rad/sec):
Linear velocity = 1.68 cm/sec
Therefore, the linear velocity of the object rotating 3 cm away from the center with an angular velocity of 0.56 rad/sec is approximately 1.68 cm/sec.