You drink so much boba tea that you have your own straw. It has an outer diameter of 14 mm, inner diameter of 11 mm, and length of 21 cm. It is made of glass with a Young's modulus of 68 GPa and tensile strength of 7 MPa. What is the effective spring constant of the straw with respect to elongation in N/m? When you hold either end you can stretch the straw with up to 90 N. How much does the straw elongate in mm?

K = 3.07 x 10⁷ N/m = 30.7 MN/m

Δx =  2.93 x 10⁻⁶ m = 0.00293 mm

Explanation:

In order to find out the effective spring constant of the straw, we can use the following equation:

K = AE/L

where,

K = Effective Spring Constant = ?

A = Cross-Sectional Area = π(Do - Di)²/4 = π(0.014² - 0.011²)/4 = 9.5 x 10⁻⁵ m²

L = Length of Straw = 21 cm = 0.21 m

E = Young's Modulus = 68 GPa = 68 x 10⁹ Pa

Therefore,

K = (9.5 x 10⁻⁵ m²)(68 x 10⁹ Pa)/(0.21 m)

K = 3.07 x 10⁷ N/m

Now, we find stress to check the elastic limit:

Stress = Force/Area = 90 N/9.5  x10⁻⁵ m²

Stress = 0.95 MPa < Tensile Strength (7 MPa)

Thus, the straw is still in elastic limit and hook's law can be applied:

Δx = F/K = (90 N)/(3.07 x 10⁷ N/m)

Δx =  2.93 x 10⁻⁶ m = 0.00293 mm

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

the gas collects in coils that then becomes a liquid that then flows through the coils inside the refrigerator