A transverse wave in a string has the form y= 1.6 cos pi (0.07 x +8t), where x is in centimeters and t is in seconds.
A) Find: The maximum amplitude in centimeters ( with one decimal place)
Flag question: Question 2Question 23 pts
A transverse wave in a string has the form y= 4.3 cos pi (0.01 x +6.0t), where x is in centimeters and t is in seconds.
Find: The harmonic frequency in Hertz. ( with two decimal places please)
Flag question: Question 3Question 33 pts
A transverse wave in a string has the form y= 7.3 cos pi (0.02 x +8.1t), where x is in centimeters and t is in seconds.
Find: The period in seconds (Please give your answer with two decimal places).
Flag question: Question 4Question 43 pts
A transverse wave in a string has the form y= 7 cos pi (0.06 x +2t), where x is in centimeters and t is in seconds.
Find: The wavelength in cm ( please give your answer with no decimal place)
Flag question: Question 5Question 53 pts
A transverse wave in a string has the form y= 7.00 cos pi (0.04 x +2.00t), where x is in centimeters and t is in seconds. Please give your answer with one decimal place.
Find: maximum transverse speed of the particles in the string in cm/s with one decimal places please.
Flag question: Question 6Question 63 pts
A transverse wave in a string has the form y= 4.5 cos pi (0.04 x +4.0t), where x is in centimeters and t is in seconds.
Find: The angular frequency in rad/s ( please give your answer with one decimal place)
Flag question: Question 7Question 73 pts
A transverse wave in a string has the form y= 2 cos pi (0.04 x +9t), where x is in centimeters and t is in seconds.
Find: The wave number (please give answer with two decimal places)
Flag question: Question 8Question 83 pts
A transverse wave in a string has the form y= 3 cos pi (0.04 x +5t), where x is in centimeters and t is in seconds.
Find: The wave speed in cm/s with no decimal places please.
Flag question: Question 9Question 93 pts
A transverse wave in a string has the form y= 5 cos pi ( 0.02x +3.00 t), where x is in centimeters and t is in seconds. The wave hits a stiff boundary and is reflected.
Find: What is the equation of the reflected wave?
Flag question: Question 10Question 103 pts
A transverse wave in a string has the form y= 5 cos pi ( 0.02x +3.00 t), where x is in centimeters and t is in seconds. The wave hits a stiff boundary and is reflected.
Derive an equation for the resulting standing waves.
Flag question: Question 11Question 1110 pts
A salt water tank is 16 m tall and is open at the top to the atmosphere. A small hole with a cross sectional area of 5 x 10 -5 m2 lets the water drain, at a distance of 2 m from the ground. The density of saltwater is 1025 kg/m3.
What is the speed of the water leaving the hole when the tank is completely full? Please give your answer with two decimal places.
Flag question: Question 12Question 1210 pts
A salt water tank is 11 m tall and is open at the top to the atmosphere. A small hole with a cross sectional area of 6 x 10 -5 m2 lets the water drain, at a distance of 3 m from the ground. The density of saltwater is 1025 kg/m3.
Determine the volume flow rate of the water from the hole in m3/s with four decimal places.
Flag question: Question 13Question 1310 pts
A salt water tank is 12 m tall and is open at the top to the atmosphere. A small hole with a cross sectional area of 8.08 x 10 -5 m2 is placed to let the water drain, at a distance of 2 m from the ground. The density of saltwater is 1025 kg/m3. The hole is originally sealed by a plug.
What is the force on the plug from the water in Newtons? (please give your answer with one decimal place)
Flag question: Question 14Question 1430 pts
A hollow Aluminum sphere has an outer radius of 0.5 m. If it is floating with exactly half of its volume submerged in water, what is its inner radius? The density of water is 1000 kg/m3 and the density of Aluminum is 2700kg/m3. Please explain your reasoning and show your calculations. Please give your answer with three decimal places.
Flag question: Question 15Question 155 pts
Find the tension in Newtons in a 4.5 mm aluminum wire on which transverse waves propagate at33 m/s. The density of aluminum is 2700 kg/m3. Please give your answer with no decimal places.
Flag question: Question 16Question 162 pts
Matthew takes a 1.0-g string that is 0.64 m long and fixes it at both ends and puts it under tension. This string produces a 100-Hz tone when it vibrates in the third harmonic. The speed of sound in air is 344 m/s. What is the tension in the string?
Flag question: Question 17Question 173 pts
Taka is doing an experiment on an incompressible fluid flowing through a pipe that has a change in diameter. Where the pipe diameter is 8.0 cm, the fluid speed is 1.28 m/s. What is the fluid speed at a location where the diameter has reduced to 4.0 cm?
