Question

question 21, 7.4b-5
hw score: 95.24%, 20 of 21 points
points: 0 of 1
the formula below gives the overall diameter c of the crankshaft gear for a known pitch diameter p of the small gear and the height t of teeth above the pitch diameter circle. if p = 3.775 in and c = 4.125 in, find t.
p + 2t = c
t = \boxed{\text{ in}}
(type an integer or a decimal)

Explanation:

Step1: Start with the formula \( P + 2T = C \)

We need to solve for \( T \). First, subtract \( P \) from both sides of the equation.
\( 2T = C - P \)

Step2: Divide both sides by 2 to isolate \( T \)

\( T=\frac{C - P}{2} \)
Now, substitute \( P = 3.775 \) and \( C = 4.125 \) into the formula.
\( T=\frac{4.125 - 3.775}{2} \)

Step3: Calculate the numerator

\( 4.125 - 3.775 = 0.35 \)

Step4: Divide the result by 2

\( T=\frac{0.35}{2}= 0.175 \)

Answer:

\( 0.175 \)