The SI Unit of torque is ______
N-m
CONCEPT:
Torque (τ):
- The physical quantity, similar as force that causes the rotational motion. It is the cross product of the force with the perpendicular distance between the axis of rotation and the point of application of the force with the force.
- Torque (τ) = r × F = r F sin θ
[Where, r = distance from point of application of force (in metre), f = force (in Newton) and θ = angle between r→ and F→]
- Also, Torque (τ) = r⊥ F = r F⊥
Where, r⊥ = component of the distance in the direction perpendicular to the F→
F⊥ = component of the force in the direction perpendicular to r→
EXPLANATION:
We know that,
Torque (τ) = r F sin θ
r = in metre and F = in Newton and sin θ = no unit
∴ The SI unit of Torque (τ) is Newton-metre or N-m, Hence Option 3 is correct
Important Points
Some Basic Dimensions are-
Sl. No. | Quantity | Common Symbol | SI Unit | Dimension |
1 | Velocity | v, u | ms-1 | LT-1 |
2 | Acceleration | a | ms-2 | LT-2 |
3 | Force | F | Newton (N) | M L T-2 |
4 | Momentum | p | Kg-ms-1 | M L T-1 |
5 | Gravitational constant | G | N-m2Kg-2 | L3 M-1 T-2 |
6 | Torque | τ | N-m | M L2 T-2 |
7 | Bulk Modulus | B | Nm2 | M L-1 T-2 |
8 | Energy | E, U, K | joule (J) | M L2 T-2 |
9 | Heat | Q | joule (J) | M L2 T-2 |
10 | Pressure | P | Nm-2 (Pa) | M L-1 T-2 |
11 | Electric Field | E | Vm-1, NC-1 | M L I-1 T-3 |
12 | Potential (voltage) | V | V, JC-1 | M L2 I-1 T-3 |
13 | Magnetic Field | B | Tesla (T), Wb m-1 | M I-1T-2 |
14 | Magnetic Flux | ΦB | Wb | M L2 I-1 T-2 |
15 | Resistance | R | Ohm (Ω) | M L2 I-2 T-3 |
16 | Electromotive Force | E | Volt (V) | M L2 I-1 T-3 |
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