Rotational Kinematics

Nov 2019
1
0
South Carolina
A potter's wheel with a 35.9 cm radius rotates with a 2.91 rad/s2 angular acceleration. After 5.37 s, the wheel has rotated through an angle of 77.7 rad.
a)What linear distance did a point on the outer edge travel during the 5.37 s?
b)What was the initial angular velocity of the wheel?
c)What was the angular velocity of the wheel at 5.37 s?
d)What is the centripetal acceleration at 5.37 s?
 
Jan 2019
47
37
A potter's wheel with a 35.9 cm radius rotates with a 2.91 rad/s2 angular acceleration. After 5.37 s, the wheel has rotated through an angle of 77.7 rad.
a)What linear distance did a point on the outer edge travel during the 5.37 s?
b)What was the initial angular velocity of the wheel?
c)What was the angular velocity of the wheel at 5.37 s?
d)What is the centripetal acceleration at 5.37 s?
You are given $r$, $\alpha$, $\Delta t$, and $\Delta \theta$. Angular acceleration is uniform.

a) $\Delta s = r \cdot \Delta \theta$

b) $\Delta \theta = \omega_0 \cdot \Delta t + \dfrac{1}{2} \alpha (\Delta t)^2$
Solve for $\omega_0$.

c) $\omega_f = \omega_0 + \alpha \cdot \Delta t$

d) $a_c = r \cdot \omega_f^2$
 
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