A thin wire is bent into the shape of a semicircle If the linear density is ,find the exact mass of the wire.

Question

A thin wire is bent into the shape of a semicircle  If the linear density is  ,find the exact mass of the wire.

Quizplus · Accepted Answer

To find the mass, we need to find the total length of the wire first. 
The semicircle has a radius of 1 (since the diameter is 2) and a circumference of π. 
So, the length of the wire is (π/2) + 2 = (2+π)/2.

Now, we can use the formula: 
mass = (length) x (linear density)

Substituting the given values, we get: 
mass = ((2+π)/2) x (11ea8a3b_b741_fcd1_9fff_453344d8d7e9_TB6897_11)
= (11ea8a3b_b741_fcd1_9fff_33191f56a37e_TB6897_11/2) x (2+π)
= 11ea8a3b_b742_23e3_9fff_332c7d5ca36a_TB6897_11

Therefore, the answer is B.

A Thin Wire Is Bent into the Shape of a Semicircle