ω= 2.4π radians/second
Δθ= 1.0π radians
Δt= d
What is the value of d? answer in units of seconds.
If Ät is the time required for the angle è to change by pi radians, then
Äè = ù * Ät
and Ät = pi/(2.4 pi) = 0.417 seconds
To find the value of "d" in units of seconds, we can use the equation:
Δθ = ω * Δt
Given:
ω = 2.4π radians/second
Δθ = 1.0π radians
We can rearrange the equation to solve for Δt:
Δt = Δθ / ω
Substituting the given values:
Δt = (1.0π radians) / (2.4π radians/second)
The units of radians cancel out, leaving us with:
Δt = 1.0 / 2.4 seconds
Simplifying:
Δt ≈ 0.4167 seconds
So, the value of "d" is approximately 0.4167 seconds.