dimension of force constant

Join Yahoo Answers and get 100 points today. To enable Verizon Media and our partners to process your personal data select 'I agree', or select 'Manage settings' for more information and to manage your choices. What is the maximum height reached by the stone? its unit is: And, often times, even with the reality that if individual fibers of a fabrics obey Hooke's regulation, the shape of the deformable body gained't. Therefore, the gravitational constant is dimensionally represented as M-1 L 3 T-2. Yahoo is part of Verizon Media. and velocity=distance/time Therefore FORCE=(mass*distance)/time^2 As mass tends to M, distance tends to L, time tends to T dimensionally. ⇒ Check Other Dimensional Formulas: Dimensions of Gravitational Potential Energy If a force F is considered that stretches the spring so that it displaces the equilibrium position by x. Information about your device and internet connection, including your IP address, Browsing and search activity while using Verizon Media websites and apps. in hooke's law, (Use the following as necessary: M for mass, T for time, and L for length.). What are the dimensions of the force constant, k? Spring Constant Dimensional Formula. Wherever there is a proportionality, to remove this proportionality we bring a constant. A cabinet is being pushed across a flat floor with a coefficient of friction of 0.54. Hooke's regulation works only for supplies that are linear-elastic. Find out more about how we use your information in our Privacy Policy and Cookie Policy. It is not necesssary that it has to be ‘k’. T = 2 pie sqrt(m/k) Find the dimensions k must have for this equation to be dimensionally correct. F = kx . The time T required for one complete oscillation of a mass m on a spring force constant k is. Still have questions? We know that, F=-kx. As we know that FORCE=mass*acceleration and acceleration=velocity/time. The answer I chose was incorrect. Which side must the flat side of the needle...? A stone was projected into the air, it's time of flight is 6 s and the range is 150m. Therefore, [a] = [L 1 T-2] That is, the dimension of acceleration is 1 dimension in length, -2 dimension in time and zero dimension in mass. in hooke's law (Use the following as necessary: M for mass, T for time, and L for length.) What is left to invent since major scientific discovery is at a kind of pause? Definition. Or [a] = [M 0 L 1 T-2]; Thus, the dimensions of a physical quantity are the powers(or exponents) to which the fundamental units of length, mass, time etc. What are the dimensions of the force constant, k? How long will it take to reach an intercept velocity of +390.7 m/s? Get your answers by asking now. You can change your choices at any time by visiting Your Privacy Controls. We and our partners will store and/or access information on your device through the use of cookies and similar technologies, to display personalised ads and content, for ad and content measurement, audience insights and product development. Thank you A bullet is fired with V= 100m/s at angle 30 degrees what is the horizontal range? How do I insert my sewing needle on my Pfaff hobbymatic. removes tool for defrauded students, Snubbed former Nike exec auctioning rare Jordan shoes, Publix worker's family blames policy for COVID-19 death, Chappelle's Netflix show removed at his request, Experts warn of COVID-19 'surge' after Thanksgiving, Cowboys strength coach suffers medical emergency, 'Voice' singer's tough night in Knockout Rounds. Therefore, \(k=-\frac{F}{x}\) Dimension of F=[MLT-2] Dimension of x= [L] According to Newton's law of universal gravitation, the attractive force (F) between two point-like bodies is directly proportional to the product of their masses (m 1 and m 2) and inversely proportional to the square of the distance, r, between them: =. There do exist non-Hookeic supplies, particularly many rubbers. Spring Constant or force constant is defined as the applied force if the displacement in the spring is unity. If something is traveling at constant acceleration of +14.9 m/s^2. In other words, the spring constant is the force applied if the displacement in the spring is unity. The magnitude of the force that a spring exerts (F) when it is stretched a distance x from its unstressed length is governed by Hooke's law, F = kx. The magnitude of the force that a spring exerts (F) when it is stretched a distance x from its unstressed length is governed by Hooke's law, F = kx. The constant ‘k’ cannot be called as a force constant. Dimensionally [k] = [F]/[x] = [M1L1T-2]/[MoL1To] = [M1LoT-2]. Linear means that rigidity is proportional to rigidity contained in the fashion of use, and elastic means that suggested textile will completely go back to its unique geometry upon unloading.

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