Answer:
7213.7kg/m³
Explanation:
Given parameters:
Volume of the metal chunk = 0.131m³
Mass of the metal chunk = 945kg
Unknown:
Density of the metal chunk = ?
Solution :
To solve this problem, density is the mass per unit volume. It is mathematically expressed as;
Density =
So;
Density = = 7213.7kg/m³
Answer:
F=1.65 x 10²⁶ N
Explanation:
Given that
Distance ,R= 3.34 x 10¹² m
Mass m₁= 2.78 x 10³⁰ kg
Mass ,m₂= 9.94 x 10³⁰ kg
we know that gravitational force F given as
G=Constant
G=6.67 x 10⁻¹¹ Nm²/kg²
Now by putting the values
F=1.65 x 10²⁶ N
Therefore the force between these two mass will be 1.65 x 10²⁶ N.
Given:
Shaft Power, P = 7.46 kW = 7460 W
Speed, N = 1200 rpm
Shearing stress of shaft, = 30 MPa
Shearing stress of key, = 240 MPa
width of key, w =
d is shaft diameter
Solution:
Torque, T =
where,
= 59.365 N-m
Now,
d = 0.0216 m
Now,
w = =
= 5.4 mm
Now, for shear stress in key
=
we know that
T = = F.
⇒ =
⇒ =
length of the rectangular key, l = 4.078 mm