Question

знайдіть швидкість руху кінчика секундної стрілки годинника, якщо її довжина дорівнює 25 см. Число Пі прийняте рівне 3.14 тягарець на гумовій стрічці коливається із періодом 1,2 секунда. Протягом 8,4 секунд тягарець подолав шлях 2,8м. якою є амплітуда коливань тягарця? Мне для друга надо это решить, просто я именно эти две задачи не понял

Answer 1

Ответ:

v = 2pR / T

T = t/N = 60/1 = 60 c

v = 6.28*0.25(м) / 60 = 0.026166 м/с

T = t/N ⇒ N = t/T = 8.4 / 1.2 = 7 коливань за 8.4 сек

7 коливань = 2.8 м

1 коливання = ? м

l = 1 * 2.8 / 7 = 0.4 за одне коливання

одне коливання = 4 амплитуды

одна амплитуда = 0.4 / 4 = 0.1 м

Answer 2

Calculation of the Speed of the Clock's Second Hand

To find the speed of the clock's second hand, we need to determine the distance it travels in a given time period. The length of the second hand is given as 25 cm.

The second hand of a clock completes one full revolution in 60 seconds, which is equivalent to 360 degrees. Therefore, the distance traveled by the second hand in one second can be calculated using the formula for the circumference of a circle:

Distance = 2 * π * radius

In this case, the radius of the clock's second hand is equal to its length, which is 25 cm. Substituting this value into the formula, we can calculate the distance traveled by the second hand in one second:

Distance = 2 * 3.14 * 25 cm

Calculating this expression, we find that the distance traveled by the second hand in one second is approximately 157 cm.

Therefore, the speed of the clock's second hand is 157 cm per second.

Calculation of the Amplitude of the Oscillating Weight

To calculate the amplitude of the oscillating weight, we need to use the formula for the period of oscillation:

Period = 2 * π * √(length / acceleration due to gravity)

In this case, the period of oscillation is given as 1.2 seconds, and the weight has traveled a distance of 2.8 meters in 8.4 seconds.

Using the formula, we can rearrange it to solve for the length:

Length = (Period / (2 * π))^2 * acceleration due to gravity

Substituting the given values into the formula, we can calculate the length:

Length = (1.2 s / (2 * 3.14))^2 * 9.8 m/s^2

Calculating this expression, we find that the length of the weight is approximately 0.295 meters.

Since the amplitude of oscillation is half the length of the weight's path, the amplitude can be calculated as:

Amplitude = Length / 2

Substituting the calculated length into the formula, we find that the amplitude of the oscillating weight is approximately 0.148 meters.

Therefore, the amplitude of the oscillating weight is 0.148 meters.