Answer:
A) The new amplitude = 0.048 m
B) Period T = 0.6 seconds
Explanation: Please find the attached files for the solution
L = 1.00 m, the original length
A = 0.5 mm² = 0.5 x 10⁻⁶ m², the cross sectional area
E = 2.0 x 10¹¹ n/m², Young's modulus
P = 1500 N, the applied tension
Calculate the stress.
σ = P/A = (1500 N)/(0.5 x 10⁻⁶ m²) = 3 x 10⁹ N/m²
Let δ = the stretch of the string.
Then the strain is
ε = δ/L
By definition, the strain is
ε = σ/E = (3 x 10⁹ N/m²)/(2 x 10¹¹ N/m²) = 0.015
Therefore
δ/(1 m) = 0.015
δ = 0.015 m = 15 mm
Answer: 15 mm
<h2>Answer:</h2>
<u>Angular velocity of bicycle tire is 15.78 radians per second.</u>
<h3>Explanation:</h3>
Angular velocity is the change in angular speed of an object with respect to time take for change or it is the rate of change of circular motion.
In the given question the circular displacement is 25 rounds around a central point.
The angular displacement is measured in degrees and 1 round is equal to 360 degrees.
25 Rounds = 25 × 360 = 9000 degrees.
Angular velocity = angular displacement /time = 9000/10 = 900 degrees per second.
In SI,angular velocity is represented in radians per second.
So, 1 radian = 57.29 degrees
Angular velocity = 15.78 radians per second
Answer:
The arrow is at a height of 500 feet at time t = 2.35 seconds.
Explanation:
It is given that,
An arrow is shot vertically upward at a rate of 250 ft/s, v₀ = 250 ft/s
The projectile formula is given by :

We need to find the time(s), in seconds, the arrow is at a height of 500 ft. So,

On solving the above quadratic equation, we get the value of t as, t = 2.35 seconds
So, the arrow is at a height of 500 feet at time t = 2.35 seconds. Hence, this is the required solution.