The angular velocity is defined by the position angle over time.
Get first the position angle of the pendulum which has the formula of s = rθ where s = arc length, r = radius (or length of the pendulum's string), and θ = position angle. Getting θ, we have <span>θ = s/r = 14.13 ft / 6 ft = 2.355 rad
Thus, the angular velocity is </span>θ/t where t = time; so 2.355 rad / 3 sec = 0.785 rad/sec
Hope this helps.
Answer:
x=4, y=3
Step-by-step explanation:
Answer: 28.84
Step-by-step explanation:
7/100 = 0.07
0.07 * 412 = 28.84
Answer:
4400 is the answer
Step-by-step explanation: You move the decimal point to the right 3 spaces. If it was 10^-3 you would move the decimal point to the left 3 spaces.
Answer:
4.4 ft/s
Step-by-step explanation:
Height = 15ft
Rate= 5 ft/s
Distance from the man to the kite= 32ft
dh/dt = 5 ft/s
h = √32^2 - 15^2
h = √ 1025 - 225
h = √800
h = 28.28ft
D = √15^2 + h^2
dD/dt = 1/2(15^2 + h^2)^-1/2 (2h) dh/dt
= h(225 + h^2)^-1/2 dh/dt
= (h / √225 + h^2)5
= (28.28 / √225 + 28.28^2)5
= (28.28 / √1024.7584)5
= (28.28/32)5
= 0.88*5
= 4.4 ft/s
