The gauge pressure in both tyres of a bicycle is 690k Pa. If the bicycle rider have a combined mass of 90 kg, what is the area of contact of with the ground? (Assume that each tyre supports half the total weight of the bicycle.)
Answers
Answer:
Explain
weight total = mass * gravity
=90 * 10 =900 newton
weight of each tires = weight total / number of the bicycle wheel
=900 newton / 2
= 450 newton
pressure = 690 * 10000 pa = 690 k pa
required is area , then pressure = force / area
when we derived the formula area = force / pressure
now , force is equal to weight of each tires
area = 450 newton / 690*10000 pa
= 6.52 * 0.0001 meter square
if you want to convert to centimeter , the answer is
= 6.52 cm square