Write all of your solutions show ALL of your work Use extra

Write all of your solutions, show ALL of your work. Use extra paper (provided) if you need. BOX your answers. Don\'t forget SI units. Don\'t stress over sig. figures. A wheel rotates about a fixed axis with a constant angular acceleration of 4.0 rad/s^2. The diameter of the wheel is 40 cm. What is the linear speed of a point on the rim of this wheel at an instant when that point has a total linear acceleration with a magnitude of 1.2 m/s^2?

Solution

tangential acceleration = angular ACC * radius

= 4*0.2= 0.8 m/s^2

Radial acceleration =v^2/r =v^2/=0.2

Magnitude of acceleration =1.2={(0.8)^2 +(v^2/0.2)^2}^1/2

V= 0.423 m/s