A man tightens a nut by applying a force of 45 N using a spanner of length 20 cm. if he wants to tighten it by a force of 30 N than what should be the length of the spanner?
The length of the spanner should be 30 cm. Here's how I calculated it:
The torque applied by the man is given by the formula `Torque = Force x Distance`. In this case, the distance is the length of the spanner and the force is the force applied by the man. So, when he applies a force of 45 N using a spanner of length 20 cm, the torque he applies is `45 N x 20 cm = 900 N.cm`.
Now, if he wants to apply a force of 30 N, he needs to use a spanner of length `L` such that `30 N x L = 900 N.cm`. Solving for `L`, we get `L = (900 N.cm) / (30 N) = 30 cm`. So, he should use a spanner of length 30 cm to apply a force of 30 N.
Answers & Comments
The length of the spanner should be 30 cm. Here's how I calculated it:
The torque applied by the man is given by the formula `Torque = Force x Distance`. In this case, the distance is the length of the spanner and the force is the force applied by the man. So, when he applies a force of 45 N using a spanner of length 20 cm, the torque he applies is `45 N x 20 cm = 900 N.cm`.
Now, if he wants to apply a force of 30 N, he needs to use a spanner of length `L` such that `30 N x L = 900 N.cm`. Solving for `L`, we get `L = (900 N.cm) / (30 N) = 30 cm`. So, he should use a spanner of length 30 cm to apply a force of 30 N.
my physics is very weak .by the for which class these questions are meant to be.