The position of x of an oscillating particle as a function of time t is given by x= A cos (Bt) where A and B are constants. What are the physical dimension of those constants?
Q: Question 1: The magnitude of the friction force acting on a particle is given by f = -bv². Here, b…
A: The fundamental quantities or base quantities of dimensional analysis are, Mass-M Length-L Time-T…
Q: A sphere of radius r has surface area A = 4πr2 and volumeV = (4/3)πr3. If the radius of sphere 2 is…
A: a)The ratio of the areas, A2/A1
Q: Consider the physical quantities s, t, u, v and w. We would like to work with these quantities using…
A: Here we have to make a formulation of the given quantities in the mathematical model. So, we…
Q: For the graph of vx versus t shown, estimate the following: i) What is the slope of the tangent line…
A: The above problem can be solved in two different ways. The first method using the two-point formula…
Q: Use backward-difference formula to evaluate the first derivative of y = x2 + 4x – 5 at x=0 using a…
A: Given equationTo Find,First derivative of the function using the backward-difference formula Formula…
Q: Using the trig. substitution 2 sin(θ) cos (θ) = sin(2θ), the range expression becomes: Range =…
A: Apply the first kinematic equation in the vertical motion to determine the time to reach the maximum…
Q: Answer the following
A: Expression for speed of sound
Q: A person's heartbeat is measured to be 65 beats per minute.What is the period between heartbeats in…
A: Frequency = 65 beats per minute We need to find time period in seconds.
Q: The position of a moving particle in vortex is expressed as, x(t) = x0 sin(a√t + bt^2) where x0 is…
A: An equation holds correct if the dimensions of the quantities involved in both sides of the equation…
Q: *1.12 In a certain vibration problem the differential equation describing the motion of a particle…
A: Each term in the above equation has the dimensions of Force(F) because the first term is mass (m)…
Q: Thickness question. you find an old book and decide to estimate the thickness of one of the sheets…
A: Given:- The all the sheets of the book are 3 inches thick, Neglecting the front and back cover book…
Q: Using dimensional analysis, determine the unit of the physical quantity, C in the equation A=B+CD;…
A: The dimension of a physical quantity is demoted with square brackets . The length has a dimension of…
Q: Given that: A=xî + yĵ + zk, determine the value of: îx (fx î) +ĵx (fxĵ) + kx († xk)
A:
Q: following measurments are taken in a lab in meters. I have linearised the function and the…
A: Given F(L) = log(L) ∆L = ±0.0005m So ∆f(L) = ??
Q: There is a rule of thumb for estimating how far away a thunderstorm is. After you see a flash of…
A: From the figure we can see that the person stands 1 mile( 1.6×10³ m) away from where lightning…
Q: The distance data in the animation is in mm, you must convert it into meters. Data: 0.5 0.6…
A: To convert given mm data into meters
Q: A) Linear velocity: LT¹¹ V=U + at = 0+1 * 0.5 = 0.5m/s LT-¹= LT 2x T SI unit of distance is metre,…
A: We know, Dimension of mass is [M] Dimension of length(distance) is [L] Dimension of time is [T]…
Q: B. Measurement of Length 1. 2. 3. Measurement 1 0 0 2 2 10 10 cm 0.1 mm 3 cm 0.1 mm 20 cm Value H m…
A:
Q: Express this product in units of km3 in standard scientific notation and with the appropriate number…
A: given that (4.2 km) × (4.0 m) × (13.24 × 10−3 mm)
Q: The radius of a uniform solid sphere is measured to be (6.50 ± 0.20) cm, and its mass is measured to…
A: Given that-Radius, r=6.50±0.20 cmMass, M=1.85±0.02 kgWe know that,Density, ρ=M43πr3we can…
Q: The period of oscillation of a simple pendulum is given by the equation T = k(L/ g)^1/2 where T is…
A: T=kLgT2=k2Lg
Q: b) The period of a pendulum is the time t it takes the pendulum to swing back and forth once. If the…
A: The equation of motion for a simple pendulum is:θ¨=glθ Therefore, the angular frequency is:ω=glAnd…
Q: A rectangular brass bar, of mass M, has dimensions a, b, c. The following results They were…
A: to find the uncertainty in the density of the material we need to find the percent error then do the…
Q: The system in the figure is in equilibrium. A concrete block of mass 325 kg hangs from the end of…
A:
Q: The Froude number, used to determine the nature of flow of water in a river, is defined as Fr= gy…
A:
Q: If D= (6.001-5.00j) m, B= (-5.001 +6.001) m, and A (1.001- 10.05) m, find the unknown constants a…
A: Write the given condition and substitute the required vectors.…
Q: (ФА)
A: We are given with scalar function and a vector A. Here one needs to find the partial differential…
Q: Hello. I do not understand how I am supposed find this answer using these equations for this…
A: The vectors A, B, and C are given below. The difference of two vectors can be computed by…
Q: dx Given that the integral y²+x² a b с d I 4y Л 8y I 2y³ I == 2y the value of dx (y² + x²)² is
A:
Q: We might assume that the period of a simple pendulum depends on the mass M, the length l of the…
A: We have to compare the proportionality and assume powers to mass, length, and gravitational…
Q: period of a simples pendulum, defined as the time necessary for one complete oscillation l, is…
A: Given:- The period of a simple pendulum, T = 2πlg
Q: Mime 1 goes through a displacement d1→=(5.58m)î + (8.66m)ĵ. Mime 2 goes through a displacement…
A:
Q: The position of a moving particle in vortex is expressed as, x(t) = xo sin(at³ + bt3/2) where xo is…
A: Given displacement equation: xt=x0sinat3+bt32 Now, the term at3+bt32 is dimensionless as it is only…
Q: Problem 9: Consider a rod of length L with a non-uniform mass distribution given by A = A + Bx where…
A: Given that Mass distribution of rod of length L is given by λ=A+Bx2 Part (c) To find the moment of…
Q: Problem 1: Suppose A = (-3.03 m)i + (4.35 m)j, B = (2.71 m)i + (-4.29 m)j + (2.99 m)k, and D (-2.48…
A:
Q: If you have a simple pendulum where the equation of its linear graph is : L = g(T/2pi)2 where x =…
A: The length of the simple pendulum is, L=gT2π2 Here T is the time period. g is the accleration due to…
Q: Instrument Ruler Quantities Diameter Units Meas #1 Meas #2 Meas #3 Meas #4 Meas #5 Meas #6 # 0.011…
A: We know, If we measure diameter (d) then we can easily calculate radius (r). So, after calculating…
Q: Consider a mass m connected to a spring with a stiffness constant k. If the frequency fo of such…
A:
Trending now
This is a popular solution!
Step by step
Solved in 2 steps