Question

You inflate the tires of your car to a gauge pressure of 34.0 lb/in2. If your car has a mass of 1750 kg and is supported equally by its four tires, determine the following.

(a) Contact area between each tire and the road b) Gauge pressure required to give each tire a contact area of 105 cm2

Answer #1

**we know, 1 lb/in^2 = 6894.76 pa**

**so, P_gauge = 34.0 lb/in^2**

**= 34.0*6894.76**

**= 234421 pa**

**given m = 1750 kg**

**a) let A is the total contact area of four
tyres.**

**so, P_gauge = m*g/A**

**A = m*g/P_gauge**

**= 1750*9.8/234421**

**= 0.07316 m^2**

**contact area of each tyre = A/4**

**= 0.07316/4**

**= 0.0183 m^2 (or) 183 cm^2
<<<<<<<-----------Answer**

**b) total contact area, A = 4*0.0105**

**= 0.042 m^2**

**now use, P_gauge = m*g/A**

**= 1750*9.8/0.042**

**= 408333 pa (or) 59.2 lb/in^2
<<<<<<<-----------Answer**

Suppose that when you ride on your 7.75 kg bike the weight of
you and the bike is supported equally by the two tires. The gauge
pressure in the tires is 75.2 lb/in2 and the area of contact
between each tire and the road is 7.13 cm2.
Part A What is your weight?

Suppose that when you ride on your 7.00-kg bike the weight of
you and the bike is supported equally by the two tires. If the
gauge pressure in the tires is 76.5 lb/in2 and the area of contact
between each tire and the road is 7.13 cm2, what is your weight?
N

It is recommended that you inflate the tires on your car when
they are at ambient temperature. Suppose you inflate the tires to
35 psi gauge with air at T = 20 °C. The tire heats up when you
drive to 37 °C. Additionally, because the tire is spinning, it
expands due to centripetal effects and the volume of the tire
increases by 3%. What is the gauge pressure in the tire now?

The gauge pressure in your car tires is 2.55 × 105 Pa at a
temperature of 35.0°C when you drive it onto a ferry boat to
Alaska. What is the gauge pressure of the tires, in pascals, later
when the temperature has dropped to -40.0°C? Assume the volume of
each tire does not change.

a) The tires on a small truck contain enough air to provide a
gauge pressure of 1.8 105 Pascals. Each tire has 0.026 m2 of
surface area pressed against the ground. From this information,
what is the mass of the truck?
b)A beach ball has a radius of 19 cm and its density is about
3.22 kg/m3. What force is required to hold it completely submerged
under water? magnitude N

A person who weighs 645 N is riding a 98 N mountain bike.
Suppose the entire weight of the rider and bike is supported
equally by the two tires. If the gauge pressure in each tire is
6.35 ✕ 105 Pa, what is the area of contact between each tire and
the ground

The absolute pressure in your car tires is 3.6 × 105 Pa at a
temperature of 35.0°C when you drive it onto a ferry boat to
Alaska.
What is the absolute
pressure of the tires, in pascals, later when the temperature has
dropped to -40.0°C? Assume the volume of each tire does not
change.

Calculate the pressure exerted on your hands when you hold up a
32 lb of box with two hands. Assume the surface area of each hand
is 8 in2.

A shell and-tube heat exchanger is required for the following
service:
Hot stream
Cold Stream
Aromatic Stream
Cooling Water
inlet Temperature (oC)
85
20
outlet Temperature (oC)
40
35
Mass Flowrate x heat Capacity (kW/oC)
85.2
Hot Stream
cold stream (Cooling water)
Heat Capacity (J/kg K)
2840
4193
Density (kg/m3)
750
999
Viscosity (cP)
0.34
1.016
Thermal conductivity (W/m.K)
0.19
0.594
Fouling Factor (m2.oC/W
0.00018
0.000176
? The cooling water is allocated to the tube-side of the
exchanger.
? It...

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