An automobile engine develops 100 kW when rotating at a speed of 1800 rev/min. What torque does it deliver?
Torque is a measure of the rotational force applied to an object, causing it to rotate around an axis or pivot point.
Class 11 Physics
Systems of Particle & Rotational Motion
CBSE EXAM 2024-25
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An automobile engine produces 100 kW power output while operating at a rotational speed of 1800 revolutions per minute. To find the torque it produces, we must understand the relationship between power and torque and the rotational speed.
Power is the rate of working or transfer rate of energy whereas torque represents forces that would try to generate this rotational movement relative to a plane. Every turning motion causes distribution of torque but keeps producing work and then leads to maintain their angular velocities throughout.
First, the rotational speed is converted into a standard unit called radians per second, which is the common unit used in calculations involving rotational motion. Then, torque can be calculated by dividing power by angular velocity.
After all these, it is observed that the engine produces a torque of 531 Nm. This translates to the force the engine uses to rotate. It is expressed in newton-meters. Torque will be one of the most crucial factors in rating an engine, as it dictates acceleration and, consequently, doing work, for example, pushing heavy loads up steep inclines.
Hence, the torque developed by this engine is ideal for its applied power and speed.
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https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-6/