Answer:
The rotational angular speed is measured at 1.34 rad/s.
Explanation:
Considering the following parameters,
Length = 3.40 m
Distance = 5.90 m
Angle = 45.0°
We are tasked with finding the angular speed of rotation
Using the balance equation
Horizontal component
Vertical component
Substituting the tension value
Substituting the value into the equation
Thus, the angular speed of rotation computes to 1.34 rad/s.
Answer:
σ₁ = C/m²
σ₂ = C/m²
Explanation:
Provided Information:
i) Smaller sphere's radius ( r ) = 5 cm.
ii) Larger sphere's radius ( R ) = 12 cm.
iii) Electric field at the larger sphere's surface ( E₁ ) = 358 kV/m, which is equivalent to 358 * 1000 v/m
Charge (Q₁) = 572.8 C
Since the electric field inside a conductor is zero, the electric potential ( V ) remains constant.
V = constant
∴
=
C
Surface charge density ( σ₁ ) for the larger sphere.
Calculated Area ( A₁ ) = 4 * π * R² = 4 * 3.14 * 0.12 = 0.180864 m².
σ₁ = =
=
C/m².
Surface charge density ( σ₂ ) for the smaller sphere.
Calculated Area ( A₂ ) = 4 * π * r² = 4 * 3.14 * 0.05² = 0.0314 m².
σ₂ = =
=
C/m²
Answer:
The answer to your inquiry is Mass = 41230.7 g or 41.23 kg.
Explanation:
Data
Density = 0.737 g/ml
Mass = ?
Volume = 14.9 gal
1 gal = 3.78 l
Process
1.- Convert gallons to liters
1 gal ---------------- 3.78 l
14.9 gal ------------- x
x = 56.44 l
2.- Convert liters to milliliters
1 l ------------------- 1000 ml
56.44 l --------------- x
x = (56.44 x 1000) / 1
x = 56444 ml
3.- Calculate the mass
Formula
Density =
Solving for mass
Mass = density x volume
Substituting values
Mass = 0.737 x 56444
Result
Mass = 41230.7 g or 41.23 kg.