Compute the magnitude of the tangential acceleration, the radial acceleration, and the resultant acceleration of a point on its rim after it has turned through 38.2^\circ.
Enter your answers separated with commas.
To compute the magnitude of the tangential acceleration, radial acceleration, and resultant acceleration, we need to consider the motion of the point on the rim.
1. Tangential Acceleration: This refers to the acceleration in the direction tangent to the circular path.
Formula: a_t = r * α
where a_t is the tangential acceleration, r is the radius of the circular path, and α is the angular acceleration in rad/s^2.
2. Radial Acceleration: This refers to the acceleration in the radial direction (perpendicular to the tangent).
Formula: a_r = r * ω^2
where a_r is the radial acceleration, r is the radius of the circular path, and ω is the angular velocity in rad/s.
3. Resultant Acceleration: This is the vector sum of the tangential and radial accelerations.
Formula: a_resultant = √(a_t^2 + a_r^2)
where a_resultant is the resultant acceleration.
Given only the angle turned (38.2°), we don't have enough information to directly calculate the angular acceleration or angular velocity. If additional information is provided (such as initial angular velocity or time), we can proceed with calculations.
Let me know if you have any additional information that can be used to calculate the tangential acceleration, radial acceleration, and resultant acceleration.