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.