Asked by Elle
A car engine accelerates at a constant rate from 170 rpm to 3050 rpm in 7 seconds.
I have found that at t=0, the angular velocity (omega)=17.8 rad/s, the angular acceleration (alpha)= 43.1 rad/s^2, the tangential acceleration = 7.76 m/s^2, and the centripetal acceleration is 57 m/s^2
What angle does the net acceleration vector make with the radius?
I have found that at t=0, the angular velocity (omega)=17.8 rad/s, the angular acceleration (alpha)= 43.1 rad/s^2, the tangential acceleration = 7.76 m/s^2, and the centripetal acceleration is 57 m/s^2
What angle does the net acceleration vector make with the radius?
Answers
Answered by
Damon
If your tangential acceleration is 7.76
and the radial acceleration is -57 (inward),
then
tangent of angle between acceleration vector and vector pointing toward circle center = 7.76/57
so that angle = 7.75 degrees
since the radius vector is directed outward we need 180 - 7.75
and the radial acceleration is -57 (inward),
then
tangent of angle between acceleration vector and vector pointing toward circle center = 7.76/57
so that angle = 7.75 degrees
since the radius vector is directed outward we need 180 - 7.75
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