The angle θ through which a pulley turns with time t is specified by the function θ = t2 + - Science - Electricity

Question

The angle θ through which a pulley turns with time
t is specified by the function θ =
t 2 + 3t – 5 Find the angular
velocity ω = d θ d t   at   t   = 5
  sec

Sanjay Singh · Accepted Answer

Dear student

ω=dθdtω=d(t2+3t-5)dt  (using the formula d(xn)dx=nxn-1ω=2t+3putting t=5ω=2×5+3=13rad/secRegards

The angle θ through which a pulley turns with time t is specified by the function θ = t 2 + 3t – 5. Find the angular velocity ω = d θ d t at t = 5 sec .

The angle θ through which a pulley turns with time t is specified by the function θ = t ² + 3t – 5. Find the angular velocity $ω = \frac{d θ}{d t} at t = 5 \sec$ .