I\'m in need of help on this problem I have gotten the first part but I cannot s

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I'm in need of help on this problem I have gotten the first part but I cannot seem to figure out the second part here's the what the question says:
A vertical wheel with a diameter of 43 cm starts from rest and rotates with a constant angular acceleration of 4.7 rad/s2 around a fixed axis through its center counterclockwise. (a) Through what angle (in degrees) has the point initially at the bottom of the wheel traveled when t = 17 s? (Indicate the direction with the sign of your answer.) ° (b) What is the point's total linear acceleration at this instant? (Enter the magnitude in m/s^2.
A vertical wheel with a diameter of 43 cm starts from rest and rotates with a constant angular acceleration of 4.7 rad/s2 around a fixed axis through its center counterclockwise. (a) Through what angle (in degrees) has the point initially at the bottom of the wheel traveled when t = 17 s? (Indicate the direction with the sign of your answer.) ° (b) What is the point's total linear acceleration at this instant? (Enter the magnitude in m/s^2.



Any help is appreciated also please explain how you got you're answer. A vertical wheel with a dameter of 67 cm starts from rest and rotates with a constant angular aceleato nof 22 radsi aound-Mamo mogn ismin onna on (a) Through what angle (in degrees) has the point initialy at the bottom of the wheel traveled when t 15 s? (tndicate the direction with the sign of your answer) 14180 70 (b) what is the point's total linear acceleration at this instant?(Enter the magnitude in ms')

Explanation / Answer

Diameter = 43 cm

So, radius r = 43/2 = 21.5 cm = 0.215 m

(a) theta = w0*t + (1/2)*alpha*t^2 = 0 + 0.5*4.7*17^2 = 679.15 rad.

So, theta in deg. = 679.15*360/(2*pi) = 38920 deg.

(b) w = alfa*t = 4.7*17 = 79.9 rad/s

Radial acceleration, alfa(r) = w^2*r = 79.9^2*0.215 = 1373 m/s^2

Tangential acceleration alfa(t) = 4.7*0.215 = 1.01 m/s^2

So, total linear acceleration = sqrt[alfa(r)^2 + alfa(t)^2] = sqrt[1373^2 + 1.01^2] = 1373 m/s^2

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