Question

homework 5 begin date: 8/17/2025 11:00:00 pm due date: 9/30/2025 11:59:00 pm end date: 9/30/2025 11:59:00 pm problem 9: (8% of assignment value) a car is driving along a level and unbanked circular track of diameter d at a constant speed of v. part (a) write an expression for the magnitude of the acceleration of the car in terms of the given parameters. a = grade summary deductions 0% potential 100% submissions attempt(s) remaining: 3 4% deduction per attempt detailed view

Explanation:

Step1: Recall centripetal - acceleration formula

The centripetal - acceleration formula is $a = \frac{v^{2}}{r}$, where $v$ is the speed and $r$ is the radius of the circular path.

Step2: Express radius in terms of diameter

Given the diameter $d$, the radius $r=\frac{d}{2}$.

Step3: Substitute radius into centripetal - acceleration formula

Substitute $r = \frac{d}{2}$ into $a=\frac{v^{2}}{r}$, we get $a=\frac{2v^{2}}{d}$.

Answer:

$\frac{2v^{2}}{d}$