A wheel with a diameter of 80 cm makes 240 revolutions in 2 minutes. What is the rotational speed, period

A wheel with a diameter of 80 cm makes 240 revolutions in 2 minutes. What is the rotational speed, period, speed of extreme points and acceleration.

D = 80 cm = 0.8 m.
N = 240.
t = 2 min = 120 s.
v -?
T -?
V -?
a -?
The frequency of rotation v is the number of revolutions N per unit of time t: v = N / t.
v = 240/120 s = 2 Hz.
The period of rotation T is the time of one complete revolution: T = t / N.
T = 120 s / 240 = 0.5 s.
V = S / t.
S = N * 2 * P * D / 2 = N * P * D.
V = N * P * D / t.
V = 240 * 3.14 * 0.8 m / 120 s = 5 m / s.
a = V ^ 2 / R = 2 * V ^ 2 / D.
a = 2 * (5 m / s) ^ 2 / 0.8 m = 62.5 m / s2.
Answer: the wheel speed is v = 2 Hz, the period is T = 0.5 s, the speed of the extreme points is V = 5 m / s, a = 62.5 m / s2.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.