Utiliza Scoratic, funciona con cualquier tema.
Answer:
Explanation:
To convert from gram / centimeter³ to kg / m³
gram / centimeter³
= 10⁻³ kg / centimeter³
= 10⁻³ / (10⁻²)³ kg / m³
= 10⁻³ / 10⁻⁶ kg / m³
= 10⁻³⁺⁶ kg / m³
= 10³ kg / m³
Thus, to convert the quantity in gm / cm³ into kg/m³, you need to multiply by 10³
2.33 gram / cm³
= 2.33 x 10³ kg / m³.
The rod measures 450mm in length, while the disk has a radius of 75mm. An upward-supporting pin holds the assembly in place when Θ=0, and there exists a torsional spring with a constant of k=20N m/rad at the pin. One end of the rod connects to the pin, while the other connects to the disk.
Answer:
29.4 N/m
0.1
Explanation:
a) The restoring force is described by: F_r = -k*x.
The gravitational force is given as: F_g = mg.
Where:
F_r = restoring force,
F_g = gravitational force,
g represents acceleration due to gravity,
and k is the force constant, while x1 and x2 are the displacements for the two masses.
Given:
m1 = 1.29 kg,
m2 = 0.3 kg,
x1 = -0.75 m,
x2 = -0.2 m,
g = 9.8 m/s².
Substituting the information yields:
F_r = F_g
-k*x1 + k*x2 = m1*g - m2*g.
Solving gives k = 29.4 N/m.
b) To find the unloaded length l:
l = x1 - (F_1/k).
Given:
m1 = 1.95kg, x1 = -0.75m.
Substituting in provides:
l = x1 - (F_1/k) = 0.1.
Speed is defined as distance over time. Hence, to determine the distance, we use d = V * t. Plugging in the values yields d = (72 Km / h) * (1h / 3600s) * (4.0 s) = 0.08Km. Thus, during this distracted period, a distance of 0.08Km was covered.
