Uniform Circular Motion Video Lessons

Concept

# Problem: Part A. In uniform circular motion, which of the following quantities are constant?Check all that apply.a. the radial component of accelerationb. the tangential component of velocityc. the tangential component of acceleratione. speedf. instantaneous velocityPart B. Which of these quantities are zero throughout the motion?Check all that apply.a. instantaneous velocityb. the tangential component of accelerationc. the radial component of accelerationd. speede. the tangential component of velocity

###### FREE Expert Solution

In this problem, we are interpreting the characteristics of various quantities associated with uniform circular motion.

Uniform circular motion refers to motion in a circle at a constant speed.

Part A.

Angular accelration:

$\overline{){\mathbf{\alpha }}{\mathbf{=}}\frac{\mathbf{∆}\mathbf{\omega }}{\mathbf{∆}\mathbf{t}}}$

Tangential acceleration:

$\overline{){{\mathbf{a}}}_{{\mathbf{t}}}{\mathbf{=}}{\mathbf{r}}{\mathbf{\alpha }}}$ where r is the radius and α is the angular acceleration.

$\overline{){{\mathbf{a}}}_{{\mathbf{c}}}{\mathbf{=}}\frac{{\mathbf{v}}^{\mathbf{2}}}{\mathbf{r}}{\mathbf{=}}{\mathbf{r}}{{\mathbf{\omega }}}^{{\mathbf{2}}}}$ where v is the tangential velocity and ω is the angular velocity.

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###### Problem Details

Part A. In uniform circular motion, which of the following quantities are constant?
Check all that apply.
a. the radial component of acceleration
b. the tangential component of velocity
c. the tangential component of acceleration
e. speed
f. instantaneous velocity

Part B. Which of these quantities are zero throughout the motion?
Check all that apply.
a. instantaneous velocity
b. the tangential component of acceleration
c. the radial component of acceleration
d. speed
e. the tangential component of velocity