Question

Humans can bite with a force of approximately 799 n. if a human tooth has the young's modulus of bone, a cross-sectional area of 1.2 cm2, and is 1.5 cm long, determine the change in the tooth's length during an 7.99 ✕ 102 n bite.

Answer 1

To determine the change in the tooth's length during a bite, we need to calculate the stress on the tooth using the formula Stress = Force / Area. The strain on the tooth can be calculated using Hooke's law. Therefore, to find the change in length, we need to know the Young's Modulus of Bone.

Step-by-step explanation:

To determine the change in the tooth's length during a bite, we need to calculate the stress on the tooth using the formula:

Stress = Force / Area

Substituting the given values, we have:

Stress = 799 N / 1.2 cm² = 665.83 N/cm²

The strain on the tooth can be calculated using Hooke's law:

Strain = Stress / Young's Modulus

Substituting the values, we have:

Strain = 665.83 N/cm² / Young's Modulus of Bone

Therefore, to find the change in length, we need to know the Young's Modulus of Bone.