Mathematics High School

Mike is driving a Toyota Camry. He’s inflated his tire to the dealer-recommend level of 32 PSI. At what speed will Mike’s car start hydroplaning? With what tire pressure would his car start hydroplaning at 45 miles per hour? Use the formula v=10.35 square root p

Answers

Answer 1

Answer:

Part A

A speed of approximately 58.55 mph

Part B

A pressure of approximately 18.9 psi

Step-by-step explanation:

Part A

The parameter for the car are;

The tire pressure, p = 32 psi

The given equation determined for the speed, 'v', when a car will start hydroplaning is presented as follows;

v = 10.35·√p

Where;

v = The speed at which the car is moving when it will hydroplane in mpj

p = The pressure in the tire in psi

The speed at which hydro planning will start in Mike's car that has a tire pressure of 32 psi is therefore;

v = 10.35 × √(32 psi) ≈ 58.55 mph

The speed at which hydro planning will start in Mike's car that has a tire pressure of 32 psi, v ≈ 58.55 mph

Part B

When a car is moving at, v = 45 mph, we have;

v = 10.35·√p

∴ The pressure in the car tire, p = (v/10.35)²

∴ at p = 45 mph, we have;

p = (45 mph/10.35)² ≈ 18.9 psi

The tire pressure at which Mike's car start hydroplaning, p ≈ 18.9 psi

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