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#angular acceleration

17 public questions tagged with this topic.

What is the primary source of angular acceleration in a rigid body?

Angular acceleration (α) is caused by net external torque (τ = Iα), which drives rotational change. As per NCERT, applying relevant law/formula with correct units and sign convention leads to Net external torque. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

A wheel with moment of inertia 6kg m2 rotates at 3rad/s. A torque of 12Nm acts for 3s. What is its final angular velocit

α = τI = 126 = 2rad/s2. Δω = αt = 2×3 = 6rad/s. ω = ω0+Δω = 3+6 = 9rad/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 9 rad/s. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

What is the condition for a rigid body to have zero angular acceleration?

Angular acceleration is zero when the net torque is zero (τ = Iα), as torque drives rotational change. As per NCERT, applying relevant law/formula with correct units and sign convention leads to Net torque is zero. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

A wheel of radius 0.4m and moment of inertia 1.6kg m2 is accelerated by a torque of 8Nm. What is its angular acceleratio

Torque: τ = Iα. τ = 8Nm, I = 1.6kg m2. α = τI = 81.6 = 5rad/s2. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 5 rad/s². This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

What is the effect of a force applied at the axis of rotation on a rigid body?

A force applied at the axis (r = 0) produces no torque (τ = rFsin⁡θ = 0), so it cannot cause rotation about that axis. As per NCERT, applying relevant law/formula with correct units and sign convention leads to It causes no rotation. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

A torque of 20Nm acts on a wheel with moment of inertia 10kg m2 starting from rest. What is its angular speed after 4s?

α = τI = 2010 = 2rad/s2. ω = ω0+αt = 0+2×4 = 8rad/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 8 rad/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.