To solve this problem, we can use the equation of motion in angular form:

ω² = ω₀² + 2αθ

where:
ω is the final angular speed,
ω₀ is the initial angular speed,
α is the angular acceleration, and
θ is the angular displacement.

Given in the problem:
ω₀ = 0 (since the fan blade is initially at rest),
α = 0.025 rad/s², and
θ = 10 rad.

Substituting these values into the equation, we get:

ω² = 0 + 2*0.025*10
ω² = 0.5
ω = sqrt(0.5)
ω = 0.71 rad/s

So, the answer is c. 0.71 rad/s.

Question

To solve this problem, we can use the equation of motion in angular form:

ω² = ω₀² + 2αθ

where:
ω is the final angular speed,
ω₀ is the initial angular speed,
α is the angular acceleration, and
θ is the angular displacement.

Given in the problem:
ω₀ = 0 (since the fan blade is initially at rest),
α = 0.025 rad/s², and
θ = 10 rad.

Substituting these values into the equation, we get:

ω² = 0 + 2*0.025*10
ω² = 0.5
ω = sqrt(0.5)
ω = 0.71 rad/s

So, the answer is c. 0.71 rad/s.

Knowee AI · Accepted Answer

To solve this problem, we can use the equation of motion in angular form:

ω² = ω₀² + 2αθ

where:
ω is the final angular speed,
ω₀ is the initial angular speed,
α is the angular acceleration, and
θ is the angular displacement.

Given in the problem:
ω₀ = 0 (since the fan blade is initially at rest),
α = 0.025 rad/s², and
θ = 10 rad.

Substituting these values into the equation, we get:

ω² = 0 + 2*0.025*10
ω² = 0.5
ω = sqrt(0.5)
ω = 0.71 rad/s

So, the answer is c. 0.71 rad/s.

A fan blade, initially at rest, rotates with a constant acceleration of 0.025 rad/s2. What is its angular speed at the instant it goes through an angular displacement of 10 rad?Select one:a.0.46 rad/sb.0.11 rad/sc.0.71 rad/sd.0.025 rad/s