Is there any explanation on why torque value increases whenever the RPM is increased?

Certainly, the connection between torque and RPM is not only perplexing but also intricate as stated in the problem overview. By definition, torque refers to a measure of rotational force while RPM measures speed of rotation. These are some of the factors and their mechanisms that were talked about in the introduction:

1.Engine Design and Operation:

• The torque curve for internal combustion engines has a particular range where it peaks usually at certain RPM levels. In designing an engine, optimization is key across several operating conditions targeting a specific RPM range within which maximum torque of engine operation is obtained.

2.Gear Ratios:

• Transmission system through gear ratios plays a big role on how high or low torque can be at given RPMS. As a result, various gear ratios can multiply engine’s torque by converting high-speed low-torque (power) to low-speed high-torque that drives the vehicle.

3.Efficiency and Power Band:

• Engines have a power band – an rpm range within which they operate most efficiently. The biggest amount of power developed by an Engine is within this power band. Various factors such as valve timing, engine design and flow characteristics both intake and exhaust systems define power band.

4.Fuel & Air Mixture:

• The performance of fuel and air mixture during combustion determines how much tourque will be produced . Often, there’s an optimal air-fuel ratio that can be achieved leading to more efficient combustion hence more tourque often occurring at certain rpm ranges.

5.Variable Valve Timing and Lift (VVT & VVL):

• Modern engines tend towards variable valve timing technology otherwise referred to as VVT or variable valve lift abbreviated as VVL that makes the system perform optimally over broad RPM spectrum. They help optimize torque across broader ranges by adjusting timing and lift on either intake or exhaust valves most particularly.

6.Turbocharging and Supercharging:

• Forced induction systems such as turbochargers and superchargers can significantly increase torque across wide ranges of RPMs since when they force more air into the combustion chamber they allow for more fuel to be burned and produce more power.

7.Electronic Control Systems:

• Different parameters within the engine can be optimized by advanced electronic control systems in real time so that it operates efficiently at a broad range of RPMs to influence torque production.

However, there is a caveat that should be taken into account: while some ranges of RPM may correspond to higher torque as stated above, an increase in RPM cannot result in direct rise in torque. The relationship between them highly depends on how the engine and other associated systems are designed. This understanding necessitates an appreciation of mechanical and thermodynamic principles underlying vehicle and engine operation that’s quite nuanced.