Question

The rear wheel of a 150 kg tricycle accidentally ran over a nail. The circular tip of the nail has a diameter of 0.001 m. How much pressure did the wheel of the tricycle experience assuming that the entire weight of the tricycle is concentrated on the rear wheel that ran over the nail.

Answer 1

The pressure experienced by the wheel of the tricycle is 1.85×10¹⁰ N/m²

What is pressure?

Pressure can be defined as the force acting perpendicular per unit area on the surface of a body. The S.I unit of pressure is N/m²

To calculate the pressure of the wheel of the tricycle, we use the formula below

Formula:

• P = 4mg/πd².............. Equation 1

Where:

• P = Pressure of the tricycle wheel
• m = mass of the wheel
• d = diameter of the wheel
• g = acceleration due to gravity
• π = pie.

From the question,

Given:

• m = 150 kg
• d = 0.001 m
• g = 9.8 m/s²

• π = 3.14

Substitute these values into equation 1

• P = 4(150)(9.8)/(0.001²×3.14)
• P = 5880/0.00000314
• P = 1.85×10¹⁰ N/m²

Hence, The pressure experienced by the wheel of the tricycle is 1.85×10¹⁰ N/m².
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