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Figure 4 shows some of the equipment used to investigate the thermal and mechanical efficiencies of a single-cylinder four-stroke petrol engine - AQA - A-Level Physics - Question 3 - 2020 - Paper 5

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Figure 4 shows some of the equipment used to investigate the thermal and mechanical efficiencies of a single-cylinder four-stroke petrol engine. - Petrol is supplie... show full transcript

Worked Solution & Example Answer:Figure 4 shows some of the equipment used to investigate the thermal and mechanical efficiencies of a single-cylinder four-stroke petrol engine - AQA - A-Level Physics - Question 3 - 2020 - Paper 5

Step 1

How to determine the input power

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Answer

To determine the input power, we need to measure the fuel consumption rate. This can be done by using a calibrated fuel reservoir and measuring the volume of petrol consumed over a set time interval. The input power can be calculated using the formula:

ho_f imes g}{t} $$ where: - $P_{in}$ is the input power in watts, - $V_f$ is the volume of fuel consumed in cubic meters, - $\rho_f$ is the density of petrol (approximately 720 kg/m³), - $g$ is the calorific value of petrol (approximately 34.2 MJ/kg), and - $t$ is the time in seconds.

Step 2

How to determine the indicated power

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Answer

The indicated power can be calculated using a pressure measurement taken from the sensors above the piston. The formula for indicated power (IP) is given by:

IP = rac{P_m imes V_{s}}{60}

where:

  • PmP_m is the mean pressure inside the cylinder,
  • VsV_{s} is the swept volume of the piston.

Step 3

How to determine the brake power

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Answer

Brake power (BP) can be determined by using the dynamometer to measure the torque it transmits to the output shaft. The formula for brake power is given by:

u}{60} $$ where: - $\tau$ is the torque in Newton-meters, - $\nu$ is the rotational speed in revolutions per minute.

Step 4

How to determine the thermal efficiency

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Answer

Thermal efficiency can be calculated by comparing the useful output power to the input power. The formula for thermal efficiency (ηth\eta_{th}) is:

ηth=BPPin\eta_{th} = \frac{BP}{P_{in}}

This gives us the percentage of input power that is converted into useful work.

Step 5

How to determine the mechanical efficiency

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Answer

Mechanical efficiency is calculated by comparing brake power to indicated power. The formula is:

ηmech=BPIP\eta_{mech} = \frac{BP}{IP}

This indicates how effectively the engine converts indicated power (from combustion) into brake power (useful output).

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