Question

problem reference 8 - 4
a wheel of radius 0.5 m rotates with a constant angular speed about an axis perpendicular to its center. a point on the wheel that is 0.2 m from the center has a tangential speed of 2 m/s.
determine the tangential acceleration of the point that is 0.2 m from the center.
2.0 m/s²
zero m/s²
0.4 m/s²
10 m/s²
4.0 m/s²

Explanation:

Step1: Recall tangential acceleration formula

Tangential acceleration \(a_t = r\alpha\), where \(r\) is radius and \(\alpha\) is angular acceleration.

Step2: Check angular acceleration

The wheel has constant angular speed, so \(\alpha = 0\).

Step3: Calculate tangential acceleration

Substitute \(\alpha = 0\) into \(a_t = r\alpha\): \(a_t = 0.2 \times 0 = 0\).

Answer:

zero m/s²