Answer:
R₂ / R₁ = D / L
Explanation:
The resistance for a metal can be calculated by
R = ρ L / A
Where ρ indicates the resistivity of aluminum, L is the resistance's length, and A indicates the cross-sectional area
We use this formula for both configurations
For small face measurements (W x W)
The length is
L = W
Area
A = W W = W²
R₁ = ρ W / W² = ρ / W
For larger face measurements (D x L)
Length L = D= 2W
Area A = W L
R₂ = ρ D / WL = ρ 2W / W L = 2 ρ/L
From this, we find the relation to be
R₂ / R₁ = 2W²/L
The velocity of water can be decomposed into its vertical and horizontal components:
The vertical component will exhibit a parabolic trajectory due to gravity, while the horizontal component will be linear:
To determine when the water reaches the ground 2.5m away, set y= 0 and x = 2.5
Since the roundabout operates at a constant angular velocity, the input power equals the frictional power. Given that the frictional power is 2.5 kW, we can express this as frictional torque multiplied by angular velocity:
frictional torque x 0.47 = 2.5 kW. Therefore, solving for frictional torque gives us 2.5 / 0.47 kN.m, which amounts to approximately 5.32 kN.m, leading to a rounded value of 5 kN.m.
When the power supply is interrupted, the roundabout experiences deceleration due to the influence of the frictional torque.
The equation for simple harmonic motion (SHM) is as follows.
