Answer:
a. radius = 0.0006m = 0.6mm and length =0.393m = 393mm
b. frequency =377.86Hz
Explanation:
Given:
mass of steel= 4g = 0.004kg
density of steel = 7890kg/m3
tensile stress of steel 7.0x10⁸
tension load =900N
from the density, we will calculate for the Volume of the steel string
density = mass/volume
volume = mass/density = 0.004/7890 = 5.07 x 10⁻⁷ m³
from the tensile stress will can get the maximum base Area of the string ,
tensile stress = load/area =
7x10⁸ = 900/A
A = 900/7x10⁸ = 1.29x10⁻⁶ m²
Area = πr²
area/pi = 4.105x10-7
radius = 0.0006m = 0.6mm
volume = Area x length
length = vol/area =(5.07 x 10⁻⁷ m³)/1.29x10⁻⁶ m² = 0.393m
b. the highest possible frequency is given by:
F = 
where T= tension, m=mass, L=length
F = 
= 297.04/0.786
frequency =377.86Hz
Answer:
$19.9
Explanation:
According to the given situation the computation of pre-tax net profit is shown below:-
Net pre-tax profit = Option exercised per share + Actual stock price at the end + Profit - Option premium
= $85 + $60 + $25 - $5.10
= $19.9
Therefore for computing the pre-tax net profit we simply applied the above formulas.
Answer:
Break-even points = 265.38
Explanation:
Given:
Fixed cost = $3,450
Variable costs = $12
Selling price = $25
Number of balls sold = 300
Find:
Break even costs
Computation:
Contribution per unit = Sales - Variable costs
Contribution per unit = $25- $12
Contribution per unit = $13
Break-even points = Fixed cost / Contribution per unit
Break-even points = $3,450 /$13
Break-even points = 265.38