A car is rounding an unbanked circular turn with a speed of v = 35 m/s. The radius of the turn is r = 1500 m. What is the magnitude ac of the car’s centripetal acceleration?

0.82

To calculate the magnitude of the car's centripetal acceleration, we can use the formula:

ac = v^2 / r

where "v" is the speed of the car and "r" is the radius of the turn.

In this case, the car's speed (v) is given as 35 m/s, and the radius of the turn (r) is given as 1500 m.

Plugging these values into the formula, we get:

ac = (35 m/s)^2 / 1500 m

To simplify the calculation, first square the speed:

ac = 1225 m^2/s^2 / 1500 m

Next, divide the squared speed by the radius:

ac = 0.81666 m/s^2

So, the magnitude of the car's centripetal acceleration is approximately 0.81666 m/s^2.