Question

When using Newton’s 2nd law, draw a free body diagram (Question) An object moves according to...

When using Newton’s 2nd law, draw a free body diagram

(Question) An object moves according to the following equation: Θ (t) = 7t2 + 3t -1, angle in radians and time in seconds.

a. Find the average angular speed from t = 0 to t = 2 seconds.

b. Find the instantaneous speed at t = 2 seconds.

c. Find the average angular acceleration from t = 0 to t = 2 seconds.

d. Find the instantaneous angular acceleration at t = 2 seconds.

Homework Answers

Answer #1

Instantaneous speed is asked in part b. Probably it is instantaneous angular speed .

a) 17 rad/s

b) 31 rad/s

c) 14 rad/s2

d) 14 rad/s2

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An object moves along the x axis according to the equation x = 3.20t2 − 2.00t...
An object moves along the x axis according to the equation x = 3.20t2 − 2.00t + 3.00, where x is in meters and t is in seconds. 1) Determine the average speed between t = 2.10 s and t = 3.40 s 2) Determine the instantaneous speed at t = 2.10 s. 3) Determine the instantaneous speed at t = 3.40 s. 4) Determine the average acceleration between t = 2.10 s and t = 3.40 s. 5) Determine...
An object moves along the x axis according to the equation x = 4.00t2 − 2.00t...
An object moves along the x axis according to the equation x = 4.00t2 − 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 1.60 s and t = 3.20 s. The average speed is the distance traveled divided by the time. Is the distance traveled equal to the displacement in this case? m/s (b) Determine the instantaneous speed at t = 1.60 s.   m/s Determine the instantaneous...
An object moves along the x axis according to the equation x = 3.25t2 − 2.00t...
An object moves along the x axis according to the equation x = 3.25t2 − 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 3.30 s and t = 4.40 s. m/s (b) Determine the instantaneous speed at t = 3.30 s. m/s Determine the instantaneous speed at t = 4.40 s. m/s (c) Determine the average acceleration between t = 3.30 s and t = 4.40 s....
An object moves along the x axis according to the equation x = 3.65t2 − 2.00t...
An object moves along the x axis according to the equation x = 3.65t2 − 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 1.50 s and t = 3.50 s. m/s (b) Determine the instantaneous speed at t = 1.50 s. m/s Determine the instantaneous speed at t = 3.50 s. m/s (c) Determine the average acceleration between t = 1.50 s and t = 3.50 s....
An object moves along the x axis according to the equation x = 4.00t2 − 2.00t...
An object moves along the x axis according to the equation x = 4.00t2 − 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 1.60 s and t = 3.20 s. m/s (b) Determine the instantaneous speed at t = 1.60 s. m/s Determine the instantaneous speed at t = 3.20 s. m/s (c) Determine the average acceleration between t = 1.60 s and t = 3.20 s....
-According to Newton’s First Law, which of the following statements is true? a) If an object...
-According to Newton’s First Law, which of the following statements is true? a) If an object is in motion, then a force is acting on it. b) A force is necessary to change the motion of an object. c) If an object is stationary, then no forces are acting on it. d) An object in motion must have an acceleration. -If an object is in motion, can its acceleration be zero? -If an object’s acceleration is zero, does that mean...
A particle moves according to a law of motion , , where is measured in seconds...
A particle moves according to a law of motion , , where is measured in seconds and in feet. Find the velocity at time . What is the velocity after second? When is the particle at rest? When is the particle moving in the positive direction? Find the total distance traveled during the first seconds. Draw a diagram like Figure 2 to illustrate the motion of the particle. Find the acceleration at time and after second. Graph Icon Graph the...
A particle moves according to a law of motion s = f(t), t ≥ 0, where...
A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. f(t) = 0.02t4 − 0.08t3 (a) Find the velocity at time t. (b) What is the velocity after 3 s? (c) When is the particle at rest? (Enter your answers as a comma-separated list.) (d) When is the particle moving in a positive direction? (Enter your answer using interval notation.) (e) Find the total distance...
A particle moves with position r(t) = x(t) i + y(t) j where x(t) = 10t2...
A particle moves with position r(t) = x(t) i + y(t) j where x(t) = 10t2 and y(t) = -3t + 2, with x and y in meters and t in seconds. (a) Find the average velocity for the time interval from 1.00 s to 3.00 s. (b) Find the instantaneous velocity at t = 1.00 s. (c) Find the average acceleration from 1.00 s to 3.00 s. (d) Find the instantaneous acceleration at t = 1.00 s.
A particle moves according to a law of motion s = f(t), t ≥ 0, where...
A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) f(t) = t3 − 8t2 + 23t (a) Find the velocity at time t. v(t) =    ft/s (b) What is the velocity after 1 second? v(1) =   ft/s (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (Enter your...