Which of the following expressions gives the instantaneous angular acceleration?

Which of the following expressions gives the average angular velocity?

The angular position of a particle as a function of time is given by2 4 7) radian( ) ( stt t+ −=where t is in seconds. Find out the instantaneous angular acceleration of the particle

Which term describes the rate of change of angular velocity at a specific instant?*1 pointA . Average angular velocityB . Average angular accelerationC. Instantaneous angular velocityD) Instantaneous angular acceleration

For uniform circular motion, which quantity below is zero throughout the motion? Instantaneous velocity Tangential acceleration Speed Radial acceleration Tangential velocity Angular velocity

In the mechanism shown on the left, at an instant in time whenOB is vertical its angular velocity is 𝜔 = 1.2 rad/s in thecounter-clockwise direction, and its angular acceleration is 𝛼 =2.4 rad/s2 in the clockwise direction. What is the acceleration ofpoint A at this instant? The length r is 2 m.Useful information: 𝛼⃗ 𝐵/𝐴 = 𝛼⃗𝐴𝐵 × 𝑟⃗𝐵/𝐴 − 𝜔2𝑟⃗𝐵/𝐴Hint: This problem is much easier if you find the instantaneouscentre of zero velocity for AB, in order to calculate 𝜔𝐴𝐵