Question

1. an axe is used to chop down a tree 10 cm wide. the axe must be moved 80 cm to accomplish this task. what is the speed ratio of the axe?

(handwritten notes: sr=0.12, 96/120, 60/4=80, 96/80=0.12)

Explanation:

Step1: Recall Speed Ratio Formula

Speed ratio (SR) for a machine is given by the ratio of the distance moved by the effort (\(d_e\)) to the distance moved by the load (\(d_l\)), i.e., \(SR=\frac{d_e}{d_l}\).

Step2: Identify Values

Here, the effort distance (\(d_e\)) is the distance the axe is moved, which is 80 cm. The load distance (\(d_l\)) is the width of the tree (distance the load moves), which is 10 cm.

Step3: Calculate Speed Ratio

Substitute the values into the formula: \(SR = \frac{80}{10}=8\).

Answer:

The speed ratio of the axe is \(\boldsymbol{8}\).