Loudness, pitch, and timbre
1) The minute travels the circumference of a 4 inches circle is 60 minutes:
Circumference = 2πr = 2π(2in) = 4π in
Time = 60 minutes
2) Constant angular velocity => (4π / 60) = (x / 20) => x = 4π / 3 inches
x = 4.19 inches
Answer: 4.19 inches
Explanation:
Acceleration is the change in speed over change in time.
a = Δv / Δt
a. The car's acceleration is:
a = (80 km/h − 0 km/h) / 10 s
a = 8 km/h/s
So every second, the speed increases by 8 km/h.
b. The cyclist's acceleration is:
a = (16 m/s − 4.0 m/s) / 5.6 s
a = 2.1 m/s²
c. The stone's speed is:
10.0 m/s² = (v − 0 m/s) / 3.5 s
v = 35 m/s
d. The time is:
1.6 m/s² = (10 m/s − 0 m/s) / t
t = 6.3 s