Why does a spanner have a long handle?

A spanner (or wrench) has a long handle for the following reason:
1. Leverage: The length of the handle provides mechanical advantage. The longer the handle, the greater the force that can be applied at the point where the spanner contacts the bolt or nut. This is due to the principle of leverage, which states that the torque (rotational force) applied by the spanner is equal to the force applied multiplied by the length of the handle.
2. Torque: Torque is given by the formula:
Torque=Force×Distance\text{Torque} = \text{Force} \times \text{Distance}
where:
o Force is the applied force,
o Distance is the length of the handle (distance from the center of the bolt or nut to where the force is applied).
A longer handle increases the distance, thus increasing the torque, which allows the user to apply greater force without needing to exert more physical effort.
3. Easier to Loosen or Tighten: A longer handle reduces the effort required to turn a stiff or tight bolt. This is why spanners for heavy-duty tasks often have longer handles compared to those for lighter tasks.
Conclusion:
A spanner has a long handle to provide greater mechanical advantage, making it easier to exert the necessary force to loosen or tighten bolts and nuts.