9 **Problem: Determining the Length of a Fishing Rod**A fishing rod has a mass of 0.8 kg. If a fisherman uses 0.8 Nm of torque to give it an angular acceleration of 5 rad/s², find the length of the fishing rod. Use the formula for the moment of inertia: \( I = \frac{1}{3} m l^2 \).**Solution:**1. **Identify the given values:** - Mass (\( m \)) = 0.8 kg - Torque (\( \tau \)) = 0.8 Nm - Angular acceleration (\( \alpha \)) = 5 rad/s²2. **Formula for torque related to angular acceleration:** \[ \tau = I \alpha \] Where \( I \) is the moment of inertia of the rod.3. **Substitute the formula for the moment of inertia:** \[ I = \frac{1}{3} m l^2 \]4. **Substitute known values into the torque formula:** \[ 0.8 = \left(\frac{1}{3} \times 0.8 \times l^2\right) \times 5 \]5. **Solve for \( l \):** \[ 0.8 = \frac{4}{3} l^2 \] \[ l^2 = \frac{0.8 \times 3}{4} \] \[ l^2 = 0.6 \] \[ l = \sqrt{0.6} \] \[ l \approx 0.775 \, \text{m} \]Therefore, the length of the fishing rod is approximately 0.775 meters.

Mass of rod m=0.8 kg, torque applied T=0.8 Nm and angular acceleration a=5 rad/s2. Moment of Inertia…

Answered: A fishing rod has a mass of O.8 kg. If…

A fishing rod has a mass of O.8 kg. If a fisherman uses 0.8 Nm of torque to give it an angular acceleration of 5 rad/s2, find the length of the fishing rod. Use I = 1/3 m12 for the moment of inertia.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Date: + e -Co S근 2.

A: i hope you are familiar with the euler's formuaeiz=cosz +i sinz......1if we replace i with…

Q: 25.4 m 4 km hr hr

A: Given data: 25.4 mi/hr - 4 km/hr Here mi/hr - miles per hour km/hr - kilometer per hour

Q: 146.88 What is The answer in 2 significant figures?

A: The value 146.88 can be written as,

Q: ax 15. Rearrange E to solve for (v). v = taxd tad v = а. с. d. v= tax b. v = tar v² = xdt to solve…

Q: Q: If A- fi+2f) and E - fi+2f]+ 3f k,fis constant, find the angle between these two vectors?

Q: Unit vector is equal to: a. Vector divided by its magnitude. b. Magnitude divided by its…

A: The quantity which comprises of magnitude as well as direction, is referred to as vector quantity. A…

Q: How do I convert

A: 5.1 kg = 5.1 * 1000 g = 5100 g [(5100 g + 730 g ) *180 m^2 ] / 12 m = 5830 g * 15 m =…

Q: Z 1 y. ㄹ BC a. b. 1 unit. doc= фас X

Q: Would it be a minus sign instead of a positive one ?

A: Yes , it would minus sign. Complete solution is below.

Q: Problem 1.56Compute the line integral of v=6+yz²ŷ+ (3y+z) 2 along the triangular path shown in Fig.…

A: Solution: Let us calculate the curl of the given vector v. v=6x^+yz2…

Q: What is the units for 0.0298, 101.74 and 19.264.

A: According to the given problemgiven equation of wave

Q: 5. Find the elevation and distance from the centerline for the point P (drawing not to scale). 1 q 1…

A: Elevation at point Q, ElQ=478-0.114+14+5ElQ=474.7ft Let the distance between points Q and P be d.…

Q: if A=9,8 â+7,3 ây+2 âz and B=9 â +7,9 ây +7,2 â . if A x B=K â+Lây + Mây, then L=? Yanıt:

Q: -X z (out of page) В (in ра -Y

Q: A proton (q = 1.60 x 10-1º C, m= 1.67 x 10-2" kg) move in a uniform magnetic field B = 0.500 Tî . At…

A: Given information: The magnetic field (B) = 0.500 T i The electric field (E) = -3.00 ×104 i V/m The…

Q: 16. How many significant figures are there in 60.5? Express your answer in numbers (1,2,3,4,5, etc.)…

A: (16) The quantity is given as x=60.5

Q: 4 Пу. i = 1´ i b. 4 II y. · * i = 1´ i d.

Q: another term for position is ___.

A: Position of an object is the place where it is situated. In physics, position is denoted by a number…

Q: How many significant figures are in each of these measurements?

A: 0005 we know all non zero numbers are significant all zeros in left side of the digit is…

Q: A particle (mass m, charge q) is moving on a circular orbit (radius R) with angular velocity . = 2π…

Q: Determine the number of significant figures in the following numbers. a. 6.12 b. 4.009

A: Given data: Two numbers 6.12 and 4.009 Required: The number of significant figures

Q: If a vector has a x-component = - 53.7 m and a y- component = -12.3 m, what is the direction of the…

A: The vector diagram for the provided vector is:

Q: Fill in the missing number. 123 1 2 ?

A: We have to find the missing number in the following series. 1 2 3 1 2 ?

Q: 17. How many significant digits in 1.1372 x 101° m³ ? *

A: The all non zero digits in a numbers are significant.

Q: 7A is how many fA?

A: Given: 7 A

Q: 1. Find the unit vector in the direction w^ = 6^ - 2j^

A: The unit vector in the direction of w→=6 i^-2 j^. Given, w→=6 i^-2 j^

Q: 5.00 m 3.20 m 2.00 m Figure P8.3 3. A block of mass m = 5.00 kg is released from point @ and V…

Q: Ques tion No.03 Evaluate the sunface integnl I=faids. uhere a = xi and s Hemis phere fiqure is…

A: The surface is given byx2+y2+z2=a2a normal vector to this surface, can be evaluated by taking its…

Q: A train shown is traveling at a speed of 45mi/hr. A constant braking force of 4300 lbs is applied to…

A: As given, Initial velocity of the system, v1=45 mihr Convert the units of the velocity of the two…

Q: Part C Enter the expression -20 + 6D in the answer box using the notation just described. Express…

Q: 45 mi/h converted to km/h 75 mi/h converted to km/h

A: Given : Speed = 45 mihrTo convert : Speed from mihr to kmhr

Q: KE = (0.5) x 70 kg x (6.95 x 6.95)

A: We know that kinetic energy is given by KE=1/2mv2

Q: (cm) 93 12+ x (ст) -12 12 91 -12+

A: q1 = -10μCq2 = 20 μ Cdistance between two charges = 0.142 + 0.182 = 0.228 mmagnitude of force…

Q: If the vector = 5 N and the angle with x-axis is ?= 36.80, then the rectangular form of the vector…

A: Given,Magnitude of the vector, R = 5 NAngle with the horizontal or with x - axis, θ = 36.80°

Q: Incorrect Question 8 0/ 1 pts Side A=43 and Side B=12, Calculate side H. Give your answer to 1…

A: Given: Side 1 (A) = 43 Side 2 (B) = 12

Q: v = i - 5j, w = 2i +j+2k and the angle between v and w is 45, find v. w and v X w

Q: 2.31 was , thanks

Q: its not 2.42

Q: A force 4 N making angle 45 with x axis. The y component is?

A: Answer Given Force F = 4 N Angle θ = 45º with x axis we have to find y component.

Q: Convert the following Vectors given in polar coordinates (r, q) to the equivalent Vector in…

Q: 51. A roller coaster moves 90.0 m horizontally forward, then travels 40.0 m at an angle of 24.0°…

Q: 600mg=?g

A: Given , 600 mg We have to convert 600 mg to how much gram .

Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

**Problem: Determining the Length of a Fishing Rod**

A fishing rod has a mass of 0.8 kg. If a fisherman uses 0.8 Nm of torque to give it an angular acceleration of 5 rad/s², find the length of the fishing rod. Use the formula for the moment of inertia: \( I = \frac{1}{3} m l^2 \).

**Solution:**

1. **Identify the given values:**
- Mass (\( m \)) = 0.8 kg
- Torque (\( \tau \)) = 0.8 Nm
- Angular acceleration (\( \alpha \)) = 5 rad/s²

2. **Formula for torque related to angular acceleration:**
\[
\tau = I \alpha
\]
Where \( I \) is the moment of inertia of the rod.

3. **Substitute the formula for the moment of inertia:**
\[
I = \frac{1}{3} m l^2
\]

4. **Substitute known values into the torque formula:**
\[
0.8 = \left(\frac{1}{3} \times 0.8 \times l^2\right) \times 5
\]

5. **Solve for \( l \):**
\[
0.8 = \frac{4}{3} l^2
\]
\[
l^2 = \frac{0.8 \times 3}{4}
\]
\[
l^2 = 0.6
\]
\[
l = \sqrt{0.6}
\]
\[
l \approx 0.775 \, \text{m}
\]

Therefore, the length of the fishing rod is approximately 0.775 meters.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Angular speed, acceleration and displacement

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Find the cross products of: 1. vector c x vector d 2. vector d x vector c when c = 12 and d = 14 and the angle between them is 64o
Create xand y vectors to represent the following data: 10 23 20 45 30 60 40 82 50 111 60 140 70 167 80 198 90 200 100 220 1. Plot the data on an x-y plot. 2. Usc lincar interpolation to approximate the value of y when x 15. 3. Usc cubic spline interpolation to approximate the valuc of ywhen x 15. 4. Usc lincar interpolation to approximate the value of x when y 80. 5. Usc cubic splinc interpolation to approximate the value of x when y= 80. 6. Usc cubic spline interpolation to approximate yvalucs for xvalues cvenly spaced bectween 10 and 100 at intervals of 2. 7. Plot the original data on an xy plot as data points not connected by a linc. Also, plot the values calculated in Excrcise 6.
Find the angle between A = 10a + 2a_and B : 4a + 0. 5a_ , using dot product. = - y
Answer the question VI or number 6
. Calculate the area of the parallelogram whose two adjacent sides are formed by the vectors. A = 31 + 4k B = 23+k.
6. If an object has a velocity of 27.8 ft/sec what is the velocity in km/hr?
The sum of two vectors is maximum when they are oriented; A perpendicular with each other. B parallel acting away from each other. (c) parallel acting toward each other. D at angle of 45° from each other.
1. Express the force as representation. a Cartesian vector or Rectangular F= 50 lb 45°
Find the angle between vector a and b if a 2i +j-k and b 3i - 6j + 2k
8. Solve the following linear equation q(t) with conditions. dą -1- IR = 0 (I =", t= 0, q(0) = 0, qo = Cɛ) C dt'
+2a1x solve for a
4. Compute for the y-component of 37.0616-unit vector directed 162.5802 degrees with respect to the positive x-axis. Note that the given angle is not the reference angle. Enter only the numerical value.