Answer:
156.1 rad/s = 24.8 rev/s
Explanation:
Torque = Momentum of inertial × radial acceleration = Iα
τ = 26.6 N.m
I = 0.162 kg.m²
26.6 = 0.162 × α
α = 164.2 rad/s²
Using equations of motion,
θ = 11.8 rev = 11.8 × 2π = 74.2 rad
w₀ = 0 rad/s (since the grindstone starts from rest)
w = ?
α = 164.2 rad/s²
w² = w₀² + 2(α)(θ)
w² = 0² + (2×164.2)(74.2)
w = 156.1 rad/s = 24.8 rev/s
Hope this Helps!!!
The formula for calculating GPE is
GPE = m x h x g
Where m is mass, h is height raised and g is gravity.
To solve the problem we just have to substitute the values we are given
70,000J = 650 x 10 x y
70,000J = 6500 x y
70,000 / 6500 = y
10.769 = y
So, the block of stone has been raised approximately 10.769 metres.
Huge masses of rock rise from deep inside Earth, travel along its surface and then sink back down. The process is known as plate tectonics. We rarely see those changes as they happen. Yet plate tectonics affects everyone.
Answer:
a) 46.5º b) 64.4º
Explanation:
To solve this problem we will use the laws of geometric optics
a) For this part we will use the law of reflection that states that the reflected and incident angle are equal
θ = 43.5º
This angle measured from the surface is
θ_r = 90 -43.5
θ_s = 46.5º
b) In this part the law of refraction must be used
n₁ sin θ₁ = n₂. Sin θ₂
sin θ₂ = n₁ / n₂ sin θ₁
The index of air refraction is n₁ = 1
The angle is this equation is measured between the vertical line called normal, if the angles are measured with respect to the surface
θ_s = 90 - θ
θ_s = 90- 43.5
θ_s = 46.5º
sin θ₂ = 1 / 1.68 sin 46.5
sin θ₂ = 0.4318
θ₂ = 25.6º
The angle with respect to the surface is
θ₂_s = 90 - 25.6
θ₂_s = 64.4º
measured in the fourth quadrant
Answer:
I'm pretty sure it's air pressure.
Explanation:
