Question

In the supermarket there is a scale that measures the weight of fruit and vegtsbles. The nedle is 24 cm long and it roatated 96deg when charlie placed four tomatoes on it. How far has the needle travel as it roated

Answer 1

The distance of needle cover as it rotate is 0.700688 cm

Explanation:

Given as :

The length of the needle = r = 24 cm

The needle is rotated at angle = Ф = 96°

The distance of needle cover as it rotate = length of arc made = l cm

The radius of arc = length of needle = r cm

Now, According to question

The distance of needle cover as it rotate =
`(\Pi * radius* \Theta )/(180^(\circ))`

where , π = 3.14

Or, l =
`(\Pi * r* \Theta )/(180^(\circ))`

Or, I =
`(3.14 * 24 cm* 96^(\circ) )/(180^(\circ))`

Or, l = 75.36 × 0.533°

∵ 180° = 3.14 radian

So, 0.533° = 0.0092978

So, l = 75.36 × 0.0092978

∴ l = 0.700688 cm

So,The distance of needle cover as it rotate = l = 0.700688 cm

Hence, The distance of needle cover as it rotate is 0.700688 cm Answer